{"heldout_episodes":24,"rows":[{"episode_id":"8c66c539a73dcd9eb4de","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.005093210332,0.892402212896],[-0.596395942018,-1.176161316202],[-0.072989159807,1.933469054273],[-2.01304775323,0.441626184275],[1.278653370748,-0.108488975483],[-1.266892473954,-0.996110064846]],\"p1\":[[0.993788945899,0.891532233407],[-0.601231072213,-1.178954522648],[-0.074284618929,1.92212059634],[-2.004641698536,0.441452591368],[1.284896763348,-0.114136652094],[-1.268641165473,-0.986612290151]],\"v0\":[[-0.079224727769,0.007178169203],[-0.027308305253,-0.045401258383],[-0.01371640637,-0.070877845376],[0.048112850537,0.00779223644],[0.073823895334,-0.060503015712],[-0.03947145628,0.067352224728]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[1.005093210332,0.892402212896],[-0.596395942018,-1.176161316202],[-0.072989159807,1.933469054273],[-2.01304775323,0.441626184275],[1.278653370748,-0.108488975483],[-1.266892473954,-0.996110064846]],\"p1\":[[0.993788945899,0.891532233407],[-0.601231072213,-1.178954522648],[-0.074284618929,1.92212059634],[-2.004641698536,0.441452591368],[1.284896763348,-0.114136652094],[-1.268641165473,-0.986612290151]],\"v0\":[[-0.079224727769,0.007178169203],[-0.027308305253,-0.045401258383],[-0.01371640637,-0.070877845376],[0.048112850537,0.00779223644],[0.073823895334,-0.060503015712],[-0.03947145628,0.067352224728]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[1.005093210332,0.892402212896],[-0.596395942018,-1.176161316202],[-0.072989159807,1.933469054273],[-2.01304775323,0.441626184275],[1.278653370748,-0.108488975483],[-1.266892473954,-0.996110064846]],\"p1\":[[0.993788945899,0.891532233407],[-0.601231072213,-1.178954522648],[-0.074284618929,1.92212059634],[-2.004641698536,0.441452591368],[1.284896763348,-0.114136652094],[-1.268641165473,-0.986612290151]],\"v0\":[[-0.079224727769,0.007178169203],[-0.027308305253,-0.045401258383],[-0.01371640637,-0.070877845376],[0.048112850537,0.00779223644],[0.073823895334,-0.060503015712],[-0.03947145628,0.067352224728]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"70500fda4b1402f2c28c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[2.075335354518,-0.012619691108],[-0.165760635328,-0.619991472694],[-1.578147414443,2.125283204299],[-1.344007431732,-1.118976184359],[-0.317611992864,1.794547429813],[1.310701648215,-1.925556034356]],\"p1\":[[2.08014043447,-0.013167770569],[-0.166255346018,-0.615508490224],[-1.568782942364,2.126227578401],[-1.35039455027,-1.114974343134],[-0.309325147183,1.788598861641],[1.306653445796,-1.930639322757]],\"v0\":[[0.033234894307,-0.007333994072],[-0.007481769191,0.0361003772],[0.087765864292,0.002216855926],[-0.042193132292,0.039214716232],[0.062410057459,-0.053091389444],[-0.037682864036,-0.0350293845]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,1,0,0],\"p0\":[[2.075335354518,-0.012619691108],[-0.165760635328,-0.619991472694],[-1.578147414443,2.125283204299],[-1.344007431732,-1.118976184359],[-0.317611992864,1.794547429813],[1.310701648215,-1.925556034356]],\"p1\":[[2.08014043447,-0.013167770569],[-0.166255346018,-0.615508490224],[-1.568782942364,2.126227578401],[-1.35039455027,-1.114974343134],[-0.309325147183,1.788598861641],[1.306653445796,-1.930639322757]],\"v0\":[[0.033234894307,-0.007333994072],[-0.007481769191,0.0361003772],[0.087765864292,0.002216855926],[-0.042193132292,0.039214716232],[0.062410057459,-0.053091389444],[-0.037682864036,-0.0350293845]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[2.075335354518,-0.012619691108],[-0.165760635328,-0.619991472694],[-1.578147414443,2.125283204299],[-1.344007431732,-1.118976184359],[-0.317611992864,1.794547429813],[1.310701648215,-1.925556034356]],\"p1\":[[2.08014043447,-0.013167770569],[-0.166255346018,-0.615508490224],[-1.568782942364,2.126227578401],[-1.35039455027,-1.114974343134],[-0.309325147183,1.788598861641],[1.306653445796,-1.930639322757]],\"v0\":[[0.033234894307,-0.007333994072],[-0.007481769191,0.0361003772],[0.087765864292,0.002216855926],[-0.042193132292,0.039214716232],[0.062410057459,-0.053091389444],[-0.037682864036,-0.0350293845]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"95e6560de8f99ad538d0","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.507509086399,-0.833905355422],[2.008981706867,-1.76759381483],[0.738704202267,-0.255166234376],[0.176570789583,-0.213450796883],[-1.761413049998,0.123927514364],[-1.534345174349,-1.996113462233]],\"p1\":[[0.508691328302,-0.832233667464],[2.00370151197,-1.766737631964],[0.726916709048,-0.254876309504],[0.170913840012,-0.205733907026],[-1.762522245918,0.134121031749],[-1.537956544924,-1.990590753997]],\"v0\":[[0.007254495288,-0.027224741462],[-0.052933929714,0.019488754249],[-0.072819321889,0.012457067426],[-0.085304425416,0.075929831308],[0.005090743855,0.088765926905],[-0.02014558111,0.0493407547]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,1,1],\"p0\":[[0.507509086399,-0.833905355422],[2.008981706867,-1.76759381483],[0.738704202267,-0.255166234376],[0.176570789583,-0.213450796883],[-1.761413049998,0.123927514364],[-1.534345174349,-1.996113462233]],\"p1\":[[0.508691328302,-0.832233667464],[2.00370151197,-1.766737631964],[0.726916709048,-0.254876309504],[0.170913840012,-0.205733907026],[-1.762522245918,0.134121031749],[-1.537956544924,-1.990590753997]],\"v0\":[[0.007254495288,-0.027224741462],[-0.052933929714,0.019488754249],[-0.072819321889,0.012457067426],[-0.085304425416,0.075929831308],[0.005090743855,0.088765926905],[-0.02014558111,0.0493407547]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[0.507509086399,-0.833905355422],[2.008981706867,-1.76759381483],[0.738704202267,-0.255166234376],[0.176570789583,-0.213450796883],[-1.761413049998,0.123927514364],[-1.534345174349,-1.996113462233]],\"p1\":[[0.508691328302,-0.832233667464],[2.00370151197,-1.766737631964],[0.726916709048,-0.254876309504],[0.170913840012,-0.205733907026],[-1.762522245918,0.134121031749],[-1.537956544924,-1.990590753997]],\"v0\":[[0.007254495288,-0.027224741462],[-0.052933929714,0.019488754249],[-0.072819321889,0.012457067426],[-0.085304425416,0.075929831308],[0.005090743855,0.088765926905],[-0.02014558111,0.0493407547]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"3a3ecc3c1695f265cdfc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.978057399874,-1.612600488338],[-2.112614142252,1.160363517985],[1.50209227249,0.75129222744],[0.340685215049,0.671086044642],[2.146976770107,-0.537298796308],[1.359026375822,-0.827025979389]],\"p1\":[[1.983832774729,-1.607885162584],[-2.101791601661,1.154577948558],[1.509951243155,0.750699546747],[0.331391248787,0.678874207512],[2.145855212412,-0.540033532938],[1.361729553552,-0.82977081941]],\"v0\":[[0.038955088665,0.034963513394],[0.087497780099,-0.048168982042],[0.059514022042,-0.003798863629],[-0.066087725512,0.068480670883],[0.005232055399,0.002630566436],[0.014426611665,-0.0487263896]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,1,1],\"p0\":[[1.978057399874,-1.612600488338],[-2.112614142252,1.160363517985],[1.50209227249,0.75129222744],[0.340685215049,0.671086044642],[2.146976770107,-0.537298796308],[1.359026375822,-0.827025979389]],\"p1\":[[1.983832774729,-1.607885162584],[-2.101791601661,1.154577948558],[1.509951243155,0.750699546747],[0.331391248787,0.678874207512],[2.145855212412,-0.540033532938],[1.361729553552,-0.82977081941]],\"v0\":[[0.038955088665,0.034963513394],[0.087497780099,-0.048168982042],[0.059514022042,-0.003798863629],[-0.066087725512,0.068480670883],[0.005232055399,0.002630566436],[0.014426611665,-0.0487263896]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[1.978057399874,-1.612600488338],[-2.112614142252,1.160363517985],[1.50209227249,0.75129222744],[0.340685215049,0.671086044642],[2.146976770107,-0.537298796308],[1.359026375822,-0.827025979389]],\"p1\":[[1.983832774729,-1.607885162584],[-2.101791601661,1.154577948558],[1.509951243155,0.750699546747],[0.331391248787,0.678874207512],[2.145855212412,-0.540033532938],[1.361729553552,-0.82977081941]],\"v0\":[[0.038955088665,0.034963513394],[0.087497780099,-0.048168982042],[0.059514022042,-0.003798863629],[-0.066087725512,0.068480670883],[0.005232055399,0.002630566436],[0.014426611665,-0.0487263896]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,1,0]}"},{"episode_id":"bdacf753f10b398b4703","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.81986383127,-1.943486629068],[-0.755210394886,-0.937733459122],[0.520210915634,-0.093940227481],[-0.736412277438,1.523144751266],[0.835186006785,-1.364344981343],[-1.358823969339,1.424709256832]],\"p1\":[[-0.810585213226,-1.931741828511],[-0.76166782751,-0.927956941633],[0.512718363838,-0.090870819177],[-0.742283612952,1.519516251283],[0.831635415714,-1.372721691908],[-1.359477405801,1.427376252581]],\"v0\":[[0.081061545551,0.073443857298],[-0.050988096904,0.076337361004],[-0.039572292478,0.016117327252],[-0.030442724657,-0.015399463704],[-0.052740075746,-0.052799253177],[-0.030207767627,0.02940443425]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[-0.81986383127,-1.943486629068],[-0.755210394886,-0.937733459122],[0.520210915634,-0.093940227481],[-0.736412277438,1.523144751266],[0.835186006785,-1.364344981343],[-1.358823969339,1.424709256832]],\"p1\":[[-0.810585213226,-1.931741828511],[-0.76166782751,-0.927956941633],[0.512718363838,-0.090870819177],[-0.742283612952,1.519516251283],[0.831635415714,-1.372721691908],[-1.359477405801,1.427376252581]],\"v0\":[[0.081061545551,0.073443857298],[-0.050988096904,0.076337361004],[-0.039572292478,0.016117327252],[-0.030442724657,-0.015399463704],[-0.052740075746,-0.052799253177],[-0.030207767627,0.02940443425]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[-0.81986383127,-1.943486629068],[-0.755210394886,-0.937733459122],[0.520210915634,-0.093940227481],[-0.736412277438,1.523144751266],[0.835186006785,-1.364344981343],[-1.358823969339,1.424709256832]],\"p1\":[[-0.810585213226,-1.931741828511],[-0.76166782751,-0.927956941633],[0.512718363838,-0.090870819177],[-0.742283612952,1.519516251283],[0.831635415714,-1.372721691908],[-1.359477405801,1.427376252581]],\"v0\":[[0.081061545551,0.073443857298],[-0.050988096904,0.076337361004],[-0.039572292478,0.016117327252],[-0.030442724657,-0.015399463704],[-0.052740075746,-0.052799253177],[-0.030207767627,0.02940443425]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"c61e9ed1d1b28da47a10","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[2.028347553885,0.96877242178],[-1.238063399339,-1.038075889635],[2.111511680086,1.973946433771],[0.562225595117,1.901801451327],[-1.719962508011,1.878300877847],[1.190301478557,1.324485524036]],\"p1\":[[2.02413586706,0.970458220149],[-1.24140625345,-1.039262328231],[2.106483661858,1.977029912432],[0.558419300893,1.904538184511],[-1.72233000629,1.873983644029],[1.19586297538,1.326037655394]],\"v0\":[[-0.054677953389,0.035962119276],[-0.025243725608,-0.005390122064],[-0.059207219024,0.005339276369],[-0.01187594829,0.007210630758],[-0.013215732376,-0.038068643847],[0.054263454992,0.024567315839]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[2.028347553885,0.96877242178],[-1.238063399339,-1.038075889635],[2.111511680086,1.973946433771],[0.562225595117,1.901801451327],[-1.719962508011,1.878300877847],[1.190301478557,1.324485524036]],\"p1\":[[2.02413586706,0.970458220149],[-1.24140625345,-1.039262328231],[2.106483661858,1.977029912432],[0.558419300893,1.904538184511],[-1.72233000629,1.873983644029],[1.19586297538,1.326037655394]],\"v0\":[[-0.054677953389,0.035962119276],[-0.025243725608,-0.005390122064],[-0.059207219024,0.005339276369],[-0.01187594829,0.007210630758],[-0.013215732376,-0.038068643847],[0.054263454992,0.024567315839]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[2.028347553885,0.96877242178],[-1.238063399339,-1.038075889635],[2.111511680086,1.973946433771],[0.562225595117,1.901801451327],[-1.719962508011,1.878300877847],[1.190301478557,1.324485524036]],\"p1\":[[2.02413586706,0.970458220149],[-1.24140625345,-1.039262328231],[2.106483661858,1.977029912432],[0.558419300893,1.904538184511],[-1.72233000629,1.873983644029],[1.19586297538,1.326037655394]],\"v0\":[[-0.054677953389,0.035962119276],[-0.025243725608,-0.005390122064],[-0.059207219024,0.005339276369],[-0.01187594829,0.007210630758],[-0.013215732376,-0.038068643847],[0.054263454992,0.024567315839]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"3fa3ae80d694323e7423","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.214384453018,1.24189533766],[-0.603835610966,-0.645243213928],[1.467499690591,-0.703173595032],[0.218912570763,1.827716584468],[1.636621111035,2.11808433835],[-2.002764055254,1.635121827488]],\"p1\":[[1.207819448738,1.250665474948],[-0.604651598872,-0.632904588571],[1.458880220767,-0.698334408926],[0.226691820991,1.833630747501],[1.640062794999,2.123344039992],[-2.006075784536,1.623762087888]],\"v0\":[[-0.04320048917,0.064754190282],[-0.018951763579,0.086173256013],[-0.05922314752,0.021391614787],[0.050678672337,0.063819150306],[0.051167999008,0.06727569361],[-0.047898413558,-0.088729956455]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,0],\"p0\":[[1.214384453018,1.24189533766],[-0.603835610966,-0.645243213928],[1.467499690591,-0.703173595032],[0.218912570763,1.827716584468],[1.636621111035,2.11808433835],[-2.002764055254,1.635121827488]],\"p1\":[[1.207819448738,1.250665474948],[-0.604651598872,-0.632904588571],[1.458880220767,-0.698334408926],[0.226691820991,1.833630747501],[1.640062794999,2.123344039992],[-2.006075784536,1.623762087888]],\"v0\":[[-0.04320048917,0.064754190282],[-0.018951763579,0.086173256013],[-0.05922314752,0.021391614787],[0.050678672337,0.063819150306],[0.051167999008,0.06727569361],[-0.047898413558,-0.088729956455]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[1.214384453018,1.24189533766],[-0.603835610966,-0.645243213928],[1.467499690591,-0.703173595032],[0.218912570763,1.827716584468],[1.636621111035,2.11808433835],[-2.002764055254,1.635121827488]],\"p1\":[[1.207819448738,1.250665474948],[-0.604651598872,-0.632904588571],[1.458880220767,-0.698334408926],[0.226691820991,1.833630747501],[1.640062794999,2.123344039992],[-2.006075784536,1.623762087888]],\"v0\":[[-0.04320048917,0.064754190282],[-0.018951763579,0.086173256013],[-0.05922314752,0.021391614787],[0.050678672337,0.063819150306],[0.051167999008,0.06727569361],[-0.047898413558,-0.088729956455]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"e6401680d7b7c9d407fb","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.159967189337,-0.93676627593],[-1.679894561986,0.607580400929],[1.199019817729,0.648240687477],[-1.674688275212,-0.184074512382],[1.727218643497,-0.146694411779],[0.545825731941,1.778166686016]],\"p1\":[[-2.159484047804,-0.94516985822],[-1.673372189251,0.610728100367],[1.198651912537,0.652145147109],[-1.667284802959,-0.187835612597],[1.724629848293,-0.158918230287],[0.553322775475,1.77316367616]],\"v0\":[[0.017168701681,-0.049612127569],[0.057772177072,0.00104343261],[-0.003234174012,0.026415326765],[0.056525812847,-0.022901038515],[-0.034445572882,-0.08711870065],[0.064124135812,-0.053988157629]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[-2.159967189337,-0.93676627593],[-1.679894561986,0.607580400929],[1.199019817729,0.648240687477],[-1.674688275212,-0.184074512382],[1.727218643497,-0.146694411779],[0.545825731941,1.778166686016]],\"p1\":[[-2.159484047804,-0.94516985822],[-1.673372189251,0.610728100367],[1.198651912537,0.652145147109],[-1.667284802959,-0.187835612597],[1.724629848293,-0.158918230287],[0.553322775475,1.77316367616]],\"v0\":[[0.017168701681,-0.049612127569],[0.057772177072,0.00104343261],[-0.003234174012,0.026415326765],[0.056525812847,-0.022901038515],[-0.034445572882,-0.08711870065],[0.064124135812,-0.053988157629]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[-2.159967189337,-0.93676627593],[-1.679894561986,0.607580400929],[1.199019817729,0.648240687477],[-1.674688275212,-0.184074512382],[1.727218643497,-0.146694411779],[0.545825731941,1.778166686016]],\"p1\":[[-2.159484047804,-0.94516985822],[-1.673372189251,0.610728100367],[1.198651912537,0.652145147109],[-1.667284802959,-0.187835612597],[1.724629848293,-0.158918230287],[0.553322775475,1.77316367616]],\"v0\":[[0.017168701681,-0.049612127569],[0.057772177072,0.00104343261],[-0.003234174012,0.026415326765],[0.056525812847,-0.022901038515],[-0.034445572882,-0.08711870065],[0.064124135812,-0.053988157629]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"45f45865624b88aaee1a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.350908107954,-0.264841550858],[-1.974967203168,-0.690380022599],[-1.637983838822,1.361583306733],[-0.30716209869,-1.925062315605],[1.365637687496,-0.369217459904],[-0.60038190829,1.012788891376]],\"p1\":[[-0.355881812194,-0.254634174348],[-1.984287140119,-0.692262737501],[-1.632429004614,1.36650464379],[-0.301318272563,-1.930736782479],[1.369649251819,-0.373299649773],[-0.604790446418,1.016813136077]],\"v0\":[[-0.051747383297,0.0759304044],[-0.05450774413,-0.005373748773],[0.02371633843,0.049539684645],[0.040838581902,-0.064566911973],[0.050437761377,-0.036167478474],[-0.036170509789,0.043251272031]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,0],\"p0\":[[-0.350908107954,-0.264841550858],[-1.974967203168,-0.690380022599],[-1.637983838822,1.361583306733],[-0.30716209869,-1.925062315605],[1.365637687496,-0.369217459904],[-0.60038190829,1.012788891376]],\"p1\":[[-0.355881812194,-0.254634174348],[-1.984287140119,-0.692262737501],[-1.632429004614,1.36650464379],[-0.301318272563,-1.930736782479],[1.369649251819,-0.373299649773],[-0.604790446418,1.016813136077]],\"v0\":[[-0.051747383297,0.0759304044],[-0.05450774413,-0.005373748773],[0.02371633843,0.049539684645],[0.040838581902,-0.064566911973],[0.050437761377,-0.036167478474],[-0.036170509789,0.043251272031]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-0.350908107954,-0.264841550858],[-1.974967203168,-0.690380022599],[-1.637983838822,1.361583306733],[-0.30716209869,-1.925062315605],[1.365637687496,-0.369217459904],[-0.60038190829,1.012788891376]],\"p1\":[[-0.355881812194,-0.254634174348],[-1.984287140119,-0.692262737501],[-1.632429004614,1.36650464379],[-0.301318272563,-1.930736782479],[1.369649251819,-0.373299649773],[-0.604790446418,1.016813136077]],\"v0\":[[-0.051747383297,0.0759304044],[-0.05450774413,-0.005373748773],[0.02371633843,0.049539684645],[0.040838581902,-0.064566911973],[0.050437761377,-0.036167478474],[-0.036170509789,0.043251272031]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,0,0]}"},{"episode_id":"a074b88efe8c8e158e50","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.92692611546,1.206102429957],[0.363746977846,1.260183932974],[-0.491628587348,0.666209431869],[1.687497129909,0.006120801725],[-1.24343620457,-2.099872147701],[1.475603432119,1.792686363735]],\"p1\":[[0.926053140422,1.198271550644],[0.370467510479,1.264160658663],[-0.492793551515,0.675062592505],[1.686087884657,0.014554665087],[-1.241453667213,-2.109215298673],[1.471385480623,1.801039188316]],\"v0\":[[0.045576387634,-0.046865822551],[0.003418518893,0.023798543152],[-0.004398229234,0.078274909801],[-0.012326700005,0.064441548073],[0.015596934362,-0.079819281621],[-0.039217461348,0.063857969663]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[0.92692611546,1.206102429957],[0.363746977846,1.260183932974],[-0.491628587348,0.666209431869],[1.687497129909,0.006120801725],[-1.24343620457,-2.099872147701],[1.475603432119,1.792686363735]],\"p1\":[[0.926053140422,1.198271550644],[0.370467510479,1.264160658663],[-0.492793551515,0.675062592505],[1.686087884657,0.014554665087],[-1.241453667213,-2.109215298673],[1.471385480623,1.801039188316]],\"v0\":[[0.045576387634,-0.046865822551],[0.003418518893,0.023798543152],[-0.004398229234,0.078274909801],[-0.012326700005,0.064441548073],[0.015596934362,-0.079819281621],[-0.039217461348,0.063857969663]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[0.92692611546,1.206102429957],[0.363746977846,1.260183932974],[-0.491628587348,0.666209431869],[1.687497129909,0.006120801725],[-1.24343620457,-2.099872147701],[1.475603432119,1.792686363735]],\"p1\":[[0.926053140422,1.198271550644],[0.370467510479,1.264160658663],[-0.492793551515,0.675062592505],[1.686087884657,0.014554665087],[-1.241453667213,-2.109215298673],[1.471385480623,1.801039188316]],\"v0\":[[0.045576387634,-0.046865822551],[0.003418518893,0.023798543152],[-0.004398229234,0.078274909801],[-0.012326700005,0.064441548073],[0.015596934362,-0.079819281621],[-0.039217461348,0.063857969663]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"7d69e47ad82e41c7a7b3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.260396941865,-0.751374677849],[0.53031166345,2.088799902802],[-1.130399743103,1.345692146087],[1.674003252627,0.486720338208],[0.987249156113,0.504034831503],[-2.152034327665,-1.518939943362]],\"p1\":[[1.251436899676,-0.758191228034],[0.519795433296,2.089545079017],[-1.13293303466,1.354722068004],[1.673068665553,0.496152073665],[0.990461057821,0.50339834126],[-2.149639530147,-1.512919583589]],\"v0\":[[-0.071721112882,-0.036774128074],[-0.087480910361,-0.003831114756],[-0.022649999853,0.074775138033],[0.005644522226,0.070891355378],[0.009926394798,-0.011714180985],[0.021802341501,0.05477087153]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[1.260396941865,-0.751374677849],[0.53031166345,2.088799902802],[-1.130399743103,1.345692146087],[1.674003252627,0.486720338208],[0.987249156113,0.504034831503],[-2.152034327665,-1.518939943362]],\"p1\":[[1.251436899676,-0.758191228034],[0.519795433296,2.089545079017],[-1.13293303466,1.354722068004],[1.673068665553,0.496152073665],[0.990461057821,0.50339834126],[-2.149639530147,-1.512919583589]],\"v0\":[[-0.071721112882,-0.036774128074],[-0.087480910361,-0.003831114756],[-0.022649999853,0.074775138033],[0.005644522226,0.070891355378],[0.009926394798,-0.011714180985],[0.021802341501,0.05477087153]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[1.260396941865,-0.751374677849],[0.53031166345,2.088799902802],[-1.130399743103,1.345692146087],[1.674003252627,0.486720338208],[0.987249156113,0.504034831503],[-2.152034327665,-1.518939943362]],\"p1\":[[1.251436899676,-0.758191228034],[0.519795433296,2.089545079017],[-1.13293303466,1.354722068004],[1.673068665553,0.496152073665],[0.990461057821,0.50339834126],[-2.149639530147,-1.512919583589]],\"v0\":[[-0.071721112882,-0.036774128074],[-0.087480910361,-0.003831114756],[-0.022649999853,0.074775138033],[0.005644522226,0.070891355378],[0.009926394798,-0.011714180985],[0.021802341501,0.05477087153]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,0]}"},{"episode_id":"068f29800e8c4eb3435a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.223186319884,2.030082326686],[-0.221569670653,-1.771112529998],[-1.537051684718,-1.938423160986],[-2.001313671703,0.574202913325],[-0.131490277157,-0.136464275817],[1.883854559123,-0.961595412261]],\"p1\":[[0.22030706627,2.027245289121],[-0.213886519238,-1.774670956831],[-1.528158890996,-1.94700745654],[-1.992301391834,0.578169110772],[-0.125158205165,-0.134221858716],[1.885348955087,-0.97011123674]],\"v0\":[[-0.025991025478,-0.030405427446],[0.058189704132,-0.022129116006],[0.084637897383,-0.065228760588],[0.082268722748,0.02913779695],[0.050740212379,0.014337214316],[0.004616483419,-0.069769789582]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,0],\"p0\":[[0.223186319884,2.030082326686],[-0.221569670653,-1.771112529998],[-1.537051684718,-1.938423160986],[-2.001313671703,0.574202913325],[-0.131490277157,-0.136464275817],[1.883854559123,-0.961595412261]],\"p1\":[[0.22030706627,2.027245289121],[-0.213886519238,-1.774670956831],[-1.528158890996,-1.94700745654],[-1.992301391834,0.578169110772],[-0.125158205165,-0.134221858716],[1.885348955087,-0.97011123674]],\"v0\":[[-0.025991025478,-0.030405427446],[0.058189704132,-0.022129116006],[0.084637897383,-0.065228760588],[0.082268722748,0.02913779695],[0.050740212379,0.014337214316],[0.004616483419,-0.069769789582]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[0.223186319884,2.030082326686],[-0.221569670653,-1.771112529998],[-1.537051684718,-1.938423160986],[-2.001313671703,0.574202913325],[-0.131490277157,-0.136464275817],[1.883854559123,-0.961595412261]],\"p1\":[[0.22030706627,2.027245289121],[-0.213886519238,-1.774670956831],[-1.528158890996,-1.94700745654],[-1.992301391834,0.578169110772],[-0.125158205165,-0.134221858716],[1.885348955087,-0.97011123674]],\"v0\":[[-0.025991025478,-0.030405427446],[0.058189704132,-0.022129116006],[0.084637897383,-0.065228760588],[0.082268722748,0.02913779695],[0.050740212379,0.014337214316],[0.004616483419,-0.069769789582]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"8659b9bf807c350e5242","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.851271095455,0.562885567655],[-0.848493853873,-1.080910000247],[2.09992929615,-2.01741906862],[0.363475885102,1.670371701831],[-2.08362090271,-1.295049026622],[-1.953643096472,1.14688731311]],\"p1\":[[-1.850194122078,0.556981096739],[-0.844796748456,-1.073482167887],[2.088272222072,-2.010183370884],[0.358844310747,1.662983605828],[-2.091569863201,-1.303108424911],[-1.952916527158,1.148745292765]],\"v0\":[[0.002086205085,-0.057682943703],[0.041891423403,0.049397872316],[-0.083124016878,0.05173882254],[-0.024752892671,-0.047218884574],[-0.084225424333,-0.084777705029],[-0.008016634736,0.048289042975]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[-1.851271095455,0.562885567655],[-0.848493853873,-1.080910000247],[2.09992929615,-2.01741906862],[0.363475885102,1.670371701831],[-2.08362090271,-1.295049026622],[-1.953643096472,1.14688731311]],\"p1\":[[-1.850194122078,0.556981096739],[-0.844796748456,-1.073482167887],[2.088272222072,-2.010183370884],[0.358844310747,1.662983605828],[-2.091569863201,-1.303108424911],[-1.952916527158,1.148745292765]],\"v0\":[[0.002086205085,-0.057682943703],[0.041891423403,0.049397872316],[-0.083124016878,0.05173882254],[-0.024752892671,-0.047218884574],[-0.084225424333,-0.084777705029],[-0.008016634736,0.048289042975]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[-1.851271095455,0.562885567655],[-0.848493853873,-1.080910000247],[2.09992929615,-2.01741906862],[0.363475885102,1.670371701831],[-2.08362090271,-1.295049026622],[-1.953643096472,1.14688731311]],\"p1\":[[-1.850194122078,0.556981096739],[-0.844796748456,-1.073482167887],[2.088272222072,-2.010183370884],[0.358844310747,1.662983605828],[-2.091569863201,-1.303108424911],[-1.952916527158,1.148745292765]],\"v0\":[[0.002086205085,-0.057682943703],[0.041891423403,0.049397872316],[-0.083124016878,0.05173882254],[-0.024752892671,-0.047218884574],[-0.084225424333,-0.084777705029],[-0.008016634736,0.048289042975]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,1]}"},{"episode_id":"4b2201f690bb612b584e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.43927059136,0.527433803922],[0.448722049447,-0.526316509834],[0.123738447259,-1.73668253222],[1.828909483549,-1.363790198484],[1.356059466678,1.206303980063],[2.003931376205,1.917244662778]],\"p1\":[[-1.434062445547,0.532599543768],[0.450533385912,-0.519122898169],[0.117524305826,-1.734742371321],[1.827258110545,-1.365890423615],[1.356868033199,1.202525309709],[1.996643707933,1.914847104958]],\"v0\":[[0.050648102264,0.040301660148],[0.017395588471,0.054847915891],[-0.045103341531,0.029269368781],[-0.02407682422,-0.011795795479],[0.013011533727,-0.027700866365],[-0.072917841287,-0.034730123774]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,0,0],\"p0\":[[-1.43927059136,0.527433803922],[0.448722049447,-0.526316509834],[0.123738447259,-1.73668253222],[1.828909483549,-1.363790198484],[1.356059466678,1.206303980063],[2.003931376205,1.917244662778]],\"p1\":[[-1.434062445547,0.532599543768],[0.450533385912,-0.519122898169],[0.117524305826,-1.734742371321],[1.827258110545,-1.365890423615],[1.356868033199,1.202525309709],[1.996643707933,1.914847104958]],\"v0\":[[0.050648102264,0.040301660148],[0.017395588471,0.054847915891],[-0.045103341531,0.029269368781],[-0.02407682422,-0.011795795479],[0.013011533727,-0.027700866365],[-0.072917841287,-0.034730123774]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[-1.43927059136,0.527433803922],[0.448722049447,-0.526316509834],[0.123738447259,-1.73668253222],[1.828909483549,-1.363790198484],[1.356059466678,1.206303980063],[2.003931376205,1.917244662778]],\"p1\":[[-1.434062445547,0.532599543768],[0.450533385912,-0.519122898169],[0.117524305826,-1.734742371321],[1.827258110545,-1.365890423615],[1.356868033199,1.202525309709],[1.996643707933,1.914847104958]],\"v0\":[[0.050648102264,0.040301660148],[0.017395588471,0.054847915891],[-0.045103341531,0.029269368781],[-0.02407682422,-0.011795795479],[0.013011533727,-0.027700866365],[-0.072917841287,-0.034730123774]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,0]}"},{"episode_id":"5324ac1c5c0f47fa1c22","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.712489273025,1.330913657439],[1.798030298484,0.6083595743],[-0.325657522414,1.212007762399],[-2.147185522089,1.659872861916],[1.200285666933,-1.697577851749],[-0.879761010764,0.190562541621]],\"p1\":[[0.719095487198,1.334405879671],[1.804653276314,0.599222262714],[-0.334993321087,1.203675236748],[-2.157780232005,1.663456912027],[1.193951332613,-1.689930125156],[-0.873268229967,0.189808870263]],\"v0\":[[0.051084839958,0.030999894972],[0.049101922171,-0.079453369413],[-0.067190267055,-0.082445223739],[-0.08717299863,0.024335228704],[-0.050923399046,0.067511927244],[0.050575985034,0.009888961751]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,0],\"p0\":[[0.712489273025,1.330913657439],[1.798030298484,0.6083595743],[-0.325657522414,1.212007762399],[-2.147185522089,1.659872861916],[1.200285666933,-1.697577851749],[-0.879761010764,0.190562541621]],\"p1\":[[0.719095487198,1.334405879671],[1.804653276314,0.599222262714],[-0.334993321087,1.203675236748],[-2.157780232005,1.663456912027],[1.193951332613,-1.689930125156],[-0.873268229967,0.189808870263]],\"v0\":[[0.051084839958,0.030999894972],[0.049101922171,-0.079453369413],[-0.067190267055,-0.082445223739],[-0.08717299863,0.024335228704],[-0.050923399046,0.067511927244],[0.050575985034,0.009888961751]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[0.712489273025,1.330913657439],[1.798030298484,0.6083595743],[-0.325657522414,1.212007762399],[-2.147185522089,1.659872861916],[1.200285666933,-1.697577851749],[-0.879761010764,0.190562541621]],\"p1\":[[0.719095487198,1.334405879671],[1.804653276314,0.599222262714],[-0.334993321087,1.203675236748],[-2.157780232005,1.663456912027],[1.193951332613,-1.689930125156],[-0.873268229967,0.189808870263]],\"v0\":[[0.051084839958,0.030999894972],[0.049101922171,-0.079453369413],[-0.067190267055,-0.082445223739],[-0.08717299863,0.024335228704],[-0.050923399046,0.067511927244],[0.050575985034,0.009888961751]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"b49656768af7c9ea2b83","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.739195343814,-1.11847331343],[-1.38741726273,-0.201307546384],[-1.283701633181,1.120873486912],[-2.090760562214,1.679515370398],[-0.529236101603,0.577020373458],[0.857857339355,1.415247448982]],\"p1\":[[0.736197370215,-1.123024018977],[-1.382289958243,-0.192069312451],[-1.286533029133,1.126545083611],[-2.09585810899,1.686762763118],[-0.533821480973,0.567293238111],[0.856778985352,1.424277355749]],\"v0\":[[-0.027109893705,-0.035394875864],[0.038382662198,0.081284019653],[-0.04423582181,0.05570855401],[-0.030575804609,0.050555125661],[-0.02131292822,-0.085692106123],[-0.010676090617,0.0744500262]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[0.739195343814,-1.11847331343],[-1.38741726273,-0.201307546384],[-1.283701633181,1.120873486912],[-2.090760562214,1.679515370398],[-0.529236101603,0.577020373458],[0.857857339355,1.415247448982]],\"p1\":[[0.736197370215,-1.123024018977],[-1.382289958243,-0.192069312451],[-1.286533029133,1.126545083611],[-2.09585810899,1.686762763118],[-0.533821480973,0.567293238111],[0.856778985352,1.424277355749]],\"v0\":[[-0.027109893705,-0.035394875864],[0.038382662198,0.081284019653],[-0.04423582181,0.05570855401],[-0.030575804609,0.050555125661],[-0.02131292822,-0.085692106123],[-0.010676090617,0.0744500262]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[0.739195343814,-1.11847331343],[-1.38741726273,-0.201307546384],[-1.283701633181,1.120873486912],[-2.090760562214,1.679515370398],[-0.529236101603,0.577020373458],[0.857857339355,1.415247448982]],\"p1\":[[0.736197370215,-1.123024018977],[-1.382289958243,-0.192069312451],[-1.286533029133,1.126545083611],[-2.09585810899,1.686762763118],[-0.533821480973,0.567293238111],[0.856778985352,1.424277355749]],\"v0\":[[-0.027109893705,-0.035394875864],[0.038382662198,0.081284019653],[-0.04423582181,0.05570855401],[-0.030575804609,0.050555125661],[-0.02131292822,-0.085692106123],[-0.010676090617,0.0744500262]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"1d82cd47e46c1af8792c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.472973686772,-1.766328599447],[-1.288883465015,1.296815562533],[1.283018098265,1.768919832014],[1.685420975356,-1.906315067946],[-1.853222266455,1.881788551571],[0.006747833483,1.77667736851]],\"p1\":[[-1.467474535517,-1.774230877704],[-1.289228948235,1.300370514589],[1.273238687618,1.767887347908],[1.690467412528,-1.903129646795],[-1.847800127568,1.883791944955],[-0.000126404084,1.772312200784]],\"v0\":[[0.037202943002,-0.072407257206],[-0.031423297981,0.044221553697],[-0.068119243446,-0.001121104527],[0.048829953935,0.018878139521],[0.071304219704,-0.001883291723],[-0.06638960955,-0.025656068915]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-1.472973686772,-1.766328599447],[-1.288883465015,1.296815562533],[1.283018098265,1.768919832014],[1.685420975356,-1.906315067946],[-1.853222266455,1.881788551571],[0.006747833483,1.77667736851]],\"p1\":[[-1.467474535517,-1.774230877704],[-1.289228948235,1.300370514589],[1.273238687618,1.767887347908],[1.690467412528,-1.903129646795],[-1.847800127568,1.883791944955],[-0.000126404084,1.772312200784]],\"v0\":[[0.037202943002,-0.072407257206],[-0.031423297981,0.044221553697],[-0.068119243446,-0.001121104527],[0.048829953935,0.018878139521],[0.071304219704,-0.001883291723],[-0.06638960955,-0.025656068915]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[-1.472973686772,-1.766328599447],[-1.288883465015,1.296815562533],[1.283018098265,1.768919832014],[1.685420975356,-1.906315067946],[-1.853222266455,1.881788551571],[0.006747833483,1.77667736851]],\"p1\":[[-1.467474535517,-1.774230877704],[-1.289228948235,1.300370514589],[1.273238687618,1.767887347908],[1.690467412528,-1.903129646795],[-1.847800127568,1.883791944955],[-0.000126404084,1.772312200784]],\"v0\":[[0.037202943002,-0.072407257206],[-0.031423297981,0.044221553697],[-0.068119243446,-0.001121104527],[0.048829953935,0.018878139521],[0.071304219704,-0.001883291723],[-0.06638960955,-0.025656068915]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"1d2f382580cdc084243a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.25440927368,1.452049673272],[-0.790944218466,0.420887877568],[1.963667301356,-0.656769906002],[0.651779073163,0.598339087821],[-1.114656033556,-1.443776481803],[2.137699778329,-1.81401717224]],\"p1\":[[-1.249286690306,1.445736761126],[-0.781190997298,0.425890698447],[1.973790321898,-0.648650734884],[0.656692783032,0.598964360469],[-1.122308119692,-1.446325695627],[2.145350578141,-1.818069530273]],\"v0\":[[0.051464683746,-0.066456607279],[0.085101997506,0.04721350022],[0.079034548331,0.06147769991],[0.034140992262,-0.000222124666],[-0.05919030122,-0.013979350731],[0.05870848461,-0.021093278763]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-1.25440927368,1.452049673272],[-0.790944218466,0.420887877568],[1.963667301356,-0.656769906002],[0.651779073163,0.598339087821],[-1.114656033556,-1.443776481803],[2.137699778329,-1.81401717224]],\"p1\":[[-1.249286690306,1.445736761126],[-0.781190997298,0.425890698447],[1.973790321898,-0.648650734884],[0.656692783032,0.598964360469],[-1.122308119692,-1.446325695627],[2.145350578141,-1.818069530273]],\"v0\":[[0.051464683746,-0.066456607279],[0.085101997506,0.04721350022],[0.079034548331,0.06147769991],[0.034140992262,-0.000222124666],[-0.05919030122,-0.013979350731],[0.05870848461,-0.021093278763]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-1.25440927368,1.452049673272],[-0.790944218466,0.420887877568],[1.963667301356,-0.656769906002],[0.651779073163,0.598339087821],[-1.114656033556,-1.443776481803],[2.137699778329,-1.81401717224]],\"p1\":[[-1.249286690306,1.445736761126],[-0.781190997298,0.425890698447],[1.973790321898,-0.648650734884],[0.656692783032,0.598964360469],[-1.122308119692,-1.446325695627],[2.145350578141,-1.818069530273]],\"v0\":[[0.051464683746,-0.066456607279],[0.085101997506,0.04721350022],[0.079034548331,0.06147769991],[0.034140992262,-0.000222124666],[-0.05919030122,-0.013979350731],[0.05870848461,-0.021093278763]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,0,0]}"},{"episode_id":"640ff0e2b20b05cadf21","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.3241556217,-0.049784948654],[-0.733350609005,-1.757289190191],[0.587588904837,-1.712877191507],[0.665046503672,1.770735557155],[-0.764222447157,1.769684279241],[-1.364607746567,2.027084232706]],\"p1\":[[-0.331091495072,-0.044552113147],[-0.738760468809,-1.754053542369],[0.589295538549,-1.716077945108],[0.663532792847,1.763565905637],[-0.763976512509,1.76330751055],[-1.364407522237,2.029927860677]],\"v0\":[[-0.058277977441,0.039091358952],[-0.058346151467,0.007464810658],[0.03133698444,-0.043620400767],[0.00896840561,-0.046933766945],[0.007427503669,-0.046069174014],[-0.028664192389,0.044774984545]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-0.3241556217,-0.049784948654],[-0.733350609005,-1.757289190191],[0.587588904837,-1.712877191507],[0.665046503672,1.770735557155],[-0.764222447157,1.769684279241],[-1.364607746567,2.027084232706]],\"p1\":[[-0.331091495072,-0.044552113147],[-0.738760468809,-1.754053542369],[0.589295538549,-1.716077945108],[0.663532792847,1.763565905637],[-0.763976512509,1.76330751055],[-1.364407522237,2.029927860677]],\"v0\":[[-0.058277977441,0.039091358952],[-0.058346151467,0.007464810658],[0.03133698444,-0.043620400767],[0.00896840561,-0.046933766945],[0.007427503669,-0.046069174014],[-0.028664192389,0.044774984545]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-0.3241556217,-0.049784948654],[-0.733350609005,-1.757289190191],[0.587588904837,-1.712877191507],[0.665046503672,1.770735557155],[-0.764222447157,1.769684279241],[-1.364607746567,2.027084232706]],\"p1\":[[-0.331091495072,-0.044552113147],[-0.738760468809,-1.754053542369],[0.589295538549,-1.716077945108],[0.663532792847,1.763565905637],[-0.763976512509,1.76330751055],[-1.364407522237,2.029927860677]],\"v0\":[[-0.058277977441,0.039091358952],[-0.058346151467,0.007464810658],[0.03133698444,-0.043620400767],[0.00896840561,-0.046933766945],[0.007427503669,-0.046069174014],[-0.028664192389,0.044774984545]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,0]}"},{"episode_id":"45984df5b65cf7d4fcf7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.506033705424,0.213631465057],[0.408924271627,-0.578474668705],[0.778336477873,0.195315456359],[-2.061804216158,1.055852476381],[-1.657724591677,-1.512578206254],[1.649200903747,0.627677378796]],\"p1\":[[-1.502706125994,0.222609769095],[0.401819053827,-0.582128670932],[0.77765929055,0.193973176817],[-2.069282072192,1.060908796822],[-1.651648827494,-1.50885139481],[1.660920857507,0.622890284198]],\"v0\":[[0.027133955902,0.080143927229],[-0.054973996716,-0.009863514265],[-0.006268096517,-0.021588229647],[-0.050682191956,0.027448224856],[0.055340570095,0.040392626661],[0.078308394328,-0.050049205193]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[-1.506033705424,0.213631465057],[0.408924271627,-0.578474668705],[0.778336477873,0.195315456359],[-2.061804216158,1.055852476381],[-1.657724591677,-1.512578206254],[1.649200903747,0.627677378796]],\"p1\":[[-1.502706125994,0.222609769095],[0.401819053827,-0.582128670932],[0.77765929055,0.193973176817],[-2.069282072192,1.060908796822],[-1.651648827494,-1.50885139481],[1.660920857507,0.622890284198]],\"v0\":[[0.027133955902,0.080143927229],[-0.054973996716,-0.009863514265],[-0.006268096517,-0.021588229647],[-0.050682191956,0.027448224856],[0.055340570095,0.040392626661],[0.078308394328,-0.050049205193]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[-1.506033705424,0.213631465057],[0.408924271627,-0.578474668705],[0.778336477873,0.195315456359],[-2.061804216158,1.055852476381],[-1.657724591677,-1.512578206254],[1.649200903747,0.627677378796]],\"p1\":[[-1.502706125994,0.222609769095],[0.401819053827,-0.582128670932],[0.77765929055,0.193973176817],[-2.069282072192,1.060908796822],[-1.651648827494,-1.50885139481],[1.660920857507,0.622890284198]],\"v0\":[[0.027133955902,0.080143927229],[-0.054973996716,-0.009863514265],[-0.006268096517,-0.021588229647],[-0.050682191956,0.027448224856],[0.055340570095,0.040392626661],[0.078308394328,-0.050049205193]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"f92c3d3e7ffbdf8bb815","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.584997529534,-0.770799661713],[0.555947250265,-2.084600228674],[1.054969903418,-1.407375897055],[1.66582158024,0.858793475723],[-0.049181480864,-2.026336057537],[0.496330727802,-1.38678832633]],\"p1\":[[-0.593040191739,-0.762385646165],[0.568631957273,-2.074790025688],[1.063638811504,-1.405522897503],[1.65727804926,0.864410059566],[-0.04747448812,-2.025937615136],[0.502599908122,-1.394623073895]],\"v0\":[[-0.061908163409,0.067152943579],[0.08014146148,0.087803174723],[0.058477318713,0.026797932913],[-0.073771405746,0.042318376107],[0.028332203293,0.000260916912],[0.074925210457,-0.072187537864]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,0,0],\"p0\":[[-0.584997529534,-0.770799661713],[0.555947250265,-2.084600228674],[1.054969903418,-1.407375897055],[1.66582158024,0.858793475723],[-0.049181480864,-2.026336057537],[0.496330727802,-1.38678832633]],\"p1\":[[-0.593040191739,-0.762385646165],[0.568631957273,-2.074790025688],[1.063638811504,-1.405522897503],[1.65727804926,0.864410059566],[-0.04747448812,-2.025937615136],[0.502599908122,-1.394623073895]],\"v0\":[[-0.061908163409,0.067152943579],[0.08014146148,0.087803174723],[0.058477318713,0.026797932913],[-0.073771405746,0.042318376107],[0.028332203293,0.000260916912],[0.074925210457,-0.072187537864]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-0.584997529534,-0.770799661713],[0.555947250265,-2.084600228674],[1.054969903418,-1.407375897055],[1.66582158024,0.858793475723],[-0.049181480864,-2.026336057537],[0.496330727802,-1.38678832633]],\"p1\":[[-0.593040191739,-0.762385646165],[0.568631957273,-2.074790025688],[1.063638811504,-1.405522897503],[1.65727804926,0.864410059566],[-0.04747448812,-2.025937615136],[0.502599908122,-1.394623073895]],\"v0\":[[-0.061908163409,0.067152943579],[0.08014146148,0.087803174723],[0.058477318713,0.026797932913],[-0.073771405746,0.042318376107],[0.028332203293,0.000260916912],[0.074925210457,-0.072187537864]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"4c7f3c387b1a58d73a86","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.114217248722,0.321334226469],[1.562192694572,0.416701405514],[-1.750678290762,-1.963907011674],[-1.908286016207,-1.256588750724],[0.957079328169,-0.571808821334],[1.099046541614,-1.81619935275]],\"p1\":[[0.120090332842,0.327184643215],[1.555474514995,0.411411394782],[-1.749097763159,-1.977336275405],[-1.917749293161,-1.250981360803],[0.961908895307,-0.578214477099],[1.091749971052,-1.811782377789]],\"v0\":[[0.039827139359,0.055254984036],[-0.055687716148,-0.050672445494],[0.007116534124,-0.088345436248],[-0.074264656707,0.022757646409],[0.047908620633,-0.043536043933],[-0.058190323195,0.02745672356]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[0.114217248722,0.321334226469],[1.562192694572,0.416701405514],[-1.750678290762,-1.963907011674],[-1.908286016207,-1.256588750724],[0.957079328169,-0.571808821334],[1.099046541614,-1.81619935275]],\"p1\":[[0.120090332842,0.327184643215],[1.555474514995,0.411411394782],[-1.749097763159,-1.977336275405],[-1.917749293161,-1.250981360803],[0.961908895307,-0.578214477099],[1.091749971052,-1.811782377789]],\"v0\":[[0.039827139359,0.055254984036],[-0.055687716148,-0.050672445494],[0.007116534124,-0.088345436248],[-0.074264656707,0.022757646409],[0.047908620633,-0.043536043933],[-0.058190323195,0.02745672356]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[0.114217248722,0.321334226469],[1.562192694572,0.416701405514],[-1.750678290762,-1.963907011674],[-1.908286016207,-1.256588750724],[0.957079328169,-0.571808821334],[1.099046541614,-1.81619935275]],\"p1\":[[0.120090332842,0.327184643215],[1.555474514995,0.411411394782],[-1.749097763159,-1.977336275405],[-1.917749293161,-1.250981360803],[0.961908895307,-0.578214477099],[1.091749971052,-1.811782377789]],\"v0\":[[0.039827139359,0.055254984036],[-0.055687716148,-0.050672445494],[0.007116534124,-0.088345436248],[-0.074264656707,0.022757646409],[0.047908620633,-0.043536043933],[-0.058190323195,0.02745672356]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"a5f4caac4d07a771a62f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.74968847445,1.885401759281],[-1.436303098,-0.088723088754],[-0.410550839752,2.074024742425],[0.030333217492,-1.837147302584],[-1.398705533752,-1.601758377613],[-1.534711706179,1.273687353836]],\"p1\":[[-1.754095857188,1.873423926768],[-1.439015273481,-0.076929810914],[-0.416848998184,2.070435441294],[0.029294336629,-1.829961659915],[-1.391946803864,-1.612251161355],[-1.52705342396,1.274334528736]],\"v0\":[[-0.032454540144,-0.079376281926],[-0.013918698471,0.072191752641],[-0.073142914636,-0.035459776961],[-0.005982076892,0.06631177488],[0.044812348913,-0.071154815524],[0.080356002835,-0.006127836244]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[-1.74968847445,1.885401759281],[-1.436303098,-0.088723088754],[-0.410550839752,2.074024742425],[0.030333217492,-1.837147302584],[-1.398705533752,-1.601758377613],[-1.534711706179,1.273687353836]],\"p1\":[[-1.754095857188,1.873423926768],[-1.439015273481,-0.076929810914],[-0.416848998184,2.070435441294],[0.029294336629,-1.829961659915],[-1.391946803864,-1.612251161355],[-1.52705342396,1.274334528736]],\"v0\":[[-0.032454540144,-0.079376281926],[-0.013918698471,0.072191752641],[-0.073142914636,-0.035459776961],[-0.005982076892,0.06631177488],[0.044812348913,-0.071154815524],[0.080356002835,-0.006127836244]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[-1.74968847445,1.885401759281],[-1.436303098,-0.088723088754],[-0.410550839752,2.074024742425],[0.030333217492,-1.837147302584],[-1.398705533752,-1.601758377613],[-1.534711706179,1.273687353836]],\"p1\":[[-1.754095857188,1.873423926768],[-1.439015273481,-0.076929810914],[-0.416848998184,2.070435441294],[0.029294336629,-1.829961659915],[-1.391946803864,-1.612251161355],[-1.52705342396,1.274334528736]],\"v0\":[[-0.032454540144,-0.079376281926],[-0.013918698471,0.072191752641],[-0.073142914636,-0.035459776961],[-0.005982076892,0.06631177488],[0.044812348913,-0.071154815524],[0.080356002835,-0.006127836244]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,0]}"},{"episode_id":"57e12bf8ebeaba861729","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.148706317752,-0.525556705676],[-0.164946955568,1.894205257254],[2.029637205741,0.235624216532],[0.707829591865,1.512052106683],[-1.702104047332,-0.564895183388],[1.5815128444,-1.280354921519]],\"p1\":[[0.153222132185,-0.524196891174],[-0.157884785073,1.888034723385],[2.039212471084,0.244617892384],[0.718881652706,1.507428935079],[-1.703978541609,-0.575462191991],[1.574497268332,-1.284026051848]],\"v0\":[[0.041993226683,0.015467421563],[0.073908802772,-0.063285668593],[0.069511764748,0.07213091535],[0.080093157334,-0.041080123459],[-0.007327183788,-0.085666771262],[-0.063886094674,-0.019885390689]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[0.148706317752,-0.525556705676],[-0.164946955568,1.894205257254],[2.029637205741,0.235624216532],[0.707829591865,1.512052106683],[-1.702104047332,-0.564895183388],[1.5815128444,-1.280354921519]],\"p1\":[[0.153222132185,-0.524196891174],[-0.157884785073,1.888034723385],[2.039212471084,0.244617892384],[0.718881652706,1.507428935079],[-1.703978541609,-0.575462191991],[1.574497268332,-1.284026051848]],\"v0\":[[0.041993226683,0.015467421563],[0.073908802772,-0.063285668593],[0.069511764748,0.07213091535],[0.080093157334,-0.041080123459],[-0.007327183788,-0.085666771262],[-0.063886094674,-0.019885390689]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[0.148706317752,-0.525556705676],[-0.164946955568,1.894205257254],[2.029637205741,0.235624216532],[0.707829591865,1.512052106683],[-1.702104047332,-0.564895183388],[1.5815128444,-1.280354921519]],\"p1\":[[0.153222132185,-0.524196891174],[-0.157884785073,1.888034723385],[2.039212471084,0.244617892384],[0.718881652706,1.507428935079],[-1.703978541609,-0.575462191991],[1.574497268332,-1.284026051848]],\"v0\":[[0.041993226683,0.015467421563],[0.073908802772,-0.063285668593],[0.069511764748,0.07213091535],[0.080093157334,-0.041080123459],[-0.007327183788,-0.085666771262],[-0.063886094674,-0.019885390689]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,1,0]}"},{"episode_id":"4b3242abce83a0574539","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.9302579227,1.194035106463],[0.524342635948,0.916889810885],[-1.572068086568,-1.973141785695],[1.297924699963,1.429499118554],[2.093071437934,1.945696082847],[1.782576851067,-1.509000190434]],\"p1\":[[1.916813438277,1.19177968],[0.531829195614,0.922876754027],[-1.571403579716,-1.977371410682],[1.289327270738,1.426965565076],[2.092057331838,1.933961994622],[1.771299903853,-1.506482664271]],\"v0\":[[-0.085182791045,-0.033568725563],[0.033873600216,0.043506527029],[-0.007190791876,-0.045552604702],[-0.088547277061,-0.006680227319],[0.01611097537,-0.062519476528],[-0.087246219276,0.002745975041]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[1.9302579227,1.194035106463],[0.524342635948,0.916889810885],[-1.572068086568,-1.973141785695],[1.297924699963,1.429499118554],[2.093071437934,1.945696082847],[1.782576851067,-1.509000190434]],\"p1\":[[1.916813438277,1.19177968],[0.531829195614,0.922876754027],[-1.571403579716,-1.977371410682],[1.289327270738,1.426965565076],[2.092057331838,1.933961994622],[1.771299903853,-1.506482664271]],\"v0\":[[-0.085182791045,-0.033568725563],[0.033873600216,0.043506527029],[-0.007190791876,-0.045552604702],[-0.088547277061,-0.006680227319],[0.01611097537,-0.062519476528],[-0.087246219276,0.002745975041]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[1.9302579227,1.194035106463],[0.524342635948,0.916889810885],[-1.572068086568,-1.973141785695],[1.297924699963,1.429499118554],[2.093071437934,1.945696082847],[1.782576851067,-1.509000190434]],\"p1\":[[1.916813438277,1.19177968],[0.531829195614,0.922876754027],[-1.571403579716,-1.977371410682],[1.289327270738,1.426965565076],[2.092057331838,1.933961994622],[1.771299903853,-1.506482664271]],\"v0\":[[-0.085182791045,-0.033568725563],[0.033873600216,0.043506527029],[-0.007190791876,-0.045552604702],[-0.088547277061,-0.006680227319],[0.01611097537,-0.062519476528],[-0.087246219276,0.002745975041]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,1,0]}"},{"episode_id":"2f36676f54e35370b3c4","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.222654028474,1.623521588851],[0.518410311625,-1.054065918033],[1.533520077824,1.384109891406],[0.724524411395,0.805458337477],[-0.723276982039,0.317020587634],[-0.407166697653,2.034339367376]],\"p1\":[[0.231473612503,1.624616287569],[0.526619636796,-1.064834175981],[1.545200203599,1.386962782838],[0.724477427499,0.812596415044],[-0.72820429523,0.305686591756],[-0.408851218499,2.03055860292]],\"v0\":[[0.066718748388,0.001308294428],[0.066248946877,-0.07751823992],[0.072419719784,0.015455544345],[-0.006488539216,0.077771168126],[-0.026549449722,-0.085693043972],[0.011402382576,-0.054634977721]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[0.222654028474,1.623521588851],[0.518410311625,-1.054065918033],[1.533520077824,1.384109891406],[0.724524411395,0.805458337477],[-0.723276982039,0.317020587634],[-0.407166697653,2.034339367376]],\"p1\":[[0.231473612503,1.624616287569],[0.526619636796,-1.064834175981],[1.545200203599,1.386962782838],[0.724477427499,0.812596415044],[-0.72820429523,0.305686591756],[-0.408851218499,2.03055860292]],\"v0\":[[0.066718748388,0.001308294428],[0.066248946877,-0.07751823992],[0.072419719784,0.015455544345],[-0.006488539216,0.077771168126],[-0.026549449722,-0.085693043972],[0.011402382576,-0.054634977721]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[0.222654028474,1.623521588851],[0.518410311625,-1.054065918033],[1.533520077824,1.384109891406],[0.724524411395,0.805458337477],[-0.723276982039,0.317020587634],[-0.407166697653,2.034339367376]],\"p1\":[[0.231473612503,1.624616287569],[0.526619636796,-1.064834175981],[1.545200203599,1.386962782838],[0.724477427499,0.812596415044],[-0.72820429523,0.305686591756],[-0.408851218499,2.03055860292]],\"v0\":[[0.066718748388,0.001308294428],[0.066248946877,-0.07751823992],[0.072419719784,0.015455544345],[-0.006488539216,0.077771168126],[-0.026549449722,-0.085693043972],[0.011402382576,-0.054634977721]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"176422472a7aa2b633f4","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.419153267023,-0.511188679885],[1.015928434538,0.654365258404],[0.167480857953,0.999390929226],[1.713371178748,-2.005405640498],[0.667434349322,-0.681620115159],[-1.385818670183,1.746925400679]],\"p1\":[[1.421996131371,-0.517197042428],[1.015981794302,0.66407664291],[0.174544753853,0.991389126217],[1.71033054471,-1.995985471164],[0.672655798927,-0.674702495447],[-1.385719606238,1.749209638485]],\"v0\":[[0.004339093086,-0.065649346789],[-0.023412899621,0.084596375764],[0.080618041688,-0.069917337222],[-0.019412356135,0.080009229883],[0.063206490521,0.066735721355],[-0.003338373517,0.023585738734]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,1],\"p0\":[[1.419153267023,-0.511188679885],[1.015928434538,0.654365258404],[0.167480857953,0.999390929226],[1.713371178748,-2.005405640498],[0.667434349322,-0.681620115159],[-1.385818670183,1.746925400679]],\"p1\":[[1.421996131371,-0.517197042428],[1.015981794302,0.66407664291],[0.174544753853,0.991389126217],[1.71033054471,-1.995985471164],[0.672655798927,-0.674702495447],[-1.385719606238,1.749209638485]],\"v0\":[[0.004339093086,-0.065649346789],[-0.023412899621,0.084596375764],[0.080618041688,-0.069917337222],[-0.019412356135,0.080009229883],[0.063206490521,0.066735721355],[-0.003338373517,0.023585738734]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[1.419153267023,-0.511188679885],[1.015928434538,0.654365258404],[0.167480857953,0.999390929226],[1.713371178748,-2.005405640498],[0.667434349322,-0.681620115159],[-1.385818670183,1.746925400679]],\"p1\":[[1.421996131371,-0.517197042428],[1.015981794302,0.66407664291],[0.174544753853,0.991389126217],[1.71033054471,-1.995985471164],[0.672655798927,-0.674702495447],[-1.385719606238,1.749209638485]],\"v0\":[[0.004339093086,-0.065649346789],[-0.023412899621,0.084596375764],[0.080618041688,-0.069917337222],[-0.019412356135,0.080009229883],[0.063206490521,0.066735721355],[-0.003338373517,0.023585738734]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"f4800c03395dd05ad7d7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.530928838993,-0.201057896592],[-0.115798650902,2.049841162797],[1.997127067739,1.325938604529],[-0.83822078779,0.690272109854],[-0.853765637729,-0.04001816886],[0.662528884981,1.856299615283]],\"p1\":[[-1.531046640769,-0.207386694888],[-0.114276917015,2.044446196566],[1.996131266137,1.32561310554],[-0.833738038577,0.682974701481],[-0.861008445194,-0.027251289073],[0.662001363684,1.854036507344]],\"v0\":[[0.019070014856,-0.055205885778],[-0.010604856598,-0.039901695049],[-0.012436696632,-0.001762437073],[0.042624124044,-0.025420450755],[-0.084843437122,0.075448081262],[0.022195442773,-0.026848446288]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-1.530928838993,-0.201057896592],[-0.115798650902,2.049841162797],[1.997127067739,1.325938604529],[-0.83822078779,0.690272109854],[-0.853765637729,-0.04001816886],[0.662528884981,1.856299615283]],\"p1\":[[-1.531046640769,-0.207386694888],[-0.114276917015,2.044446196566],[1.996131266137,1.32561310554],[-0.833738038577,0.682974701481],[-0.861008445194,-0.027251289073],[0.662001363684,1.854036507344]],\"v0\":[[0.019070014856,-0.055205885778],[-0.010604856598,-0.039901695049],[-0.012436696632,-0.001762437073],[0.042624124044,-0.025420450755],[-0.084843437122,0.075448081262],[0.022195442773,-0.026848446288]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[-1.530928838993,-0.201057896592],[-0.115798650902,2.049841162797],[1.997127067739,1.325938604529],[-0.83822078779,0.690272109854],[-0.853765637729,-0.04001816886],[0.662528884981,1.856299615283]],\"p1\":[[-1.531046640769,-0.207386694888],[-0.114276917015,2.044446196566],[1.996131266137,1.32561310554],[-0.833738038577,0.682974701481],[-0.861008445194,-0.027251289073],[0.662001363684,1.854036507344]],\"v0\":[[0.019070014856,-0.055205885778],[-0.010604856598,-0.039901695049],[-0.012436696632,-0.001762437073],[0.042624124044,-0.025420450755],[-0.084843437122,0.075448081262],[0.022195442773,-0.026848446288]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"6057942d102844fb6849","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.085104917376,0.968439599108],[-0.836010086516,1.509850936063],[-1.341042078721,-2.115330757642],[-0.555858391822,-0.740971053275],[0.670085839522,-2.074405182302],[0.106793787928,1.711934889764]],\"p1\":[[-2.093205858949,0.972119390457],[-0.835144600337,1.513864294813],[-1.330617558188,-2.123601270549],[-0.549506696926,-0.747685606578],[0.67314356602,-2.066601500376],[0.112705698777,1.717995223419]],\"v0\":[[-0.059736040599,0.048367026708],[-0.014585964623,0.012803581542],[0.078184295272,-0.074079345141],[0.056873873346,-0.035348407957],[0.038266840899,0.063927229651],[0.055250307218,0.039097410774]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[-2.085104917376,0.968439599108],[-0.836010086516,1.509850936063],[-1.341042078721,-2.115330757642],[-0.555858391822,-0.740971053275],[0.670085839522,-2.074405182302],[0.106793787928,1.711934889764]],\"p1\":[[-2.093205858949,0.972119390457],[-0.835144600337,1.513864294813],[-1.330617558188,-2.123601270549],[-0.549506696926,-0.747685606578],[0.67314356602,-2.066601500376],[0.112705698777,1.717995223419]],\"v0\":[[-0.059736040599,0.048367026708],[-0.014585964623,0.012803581542],[0.078184295272,-0.074079345141],[0.056873873346,-0.035348407957],[0.038266840899,0.063927229651],[0.055250307218,0.039097410774]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-2.085104917376,0.968439599108],[-0.836010086516,1.509850936063],[-1.341042078721,-2.115330757642],[-0.555858391822,-0.740971053275],[0.670085839522,-2.074405182302],[0.106793787928,1.711934889764]],\"p1\":[[-2.093205858949,0.972119390457],[-0.835144600337,1.513864294813],[-1.330617558188,-2.123601270549],[-0.549506696926,-0.747685606578],[0.67314356602,-2.066601500376],[0.112705698777,1.717995223419]],\"v0\":[[-0.059736040599,0.048367026708],[-0.014585964623,0.012803581542],[0.078184295272,-0.074079345141],[0.056873873346,-0.035348407957],[0.038266840899,0.063927229651],[0.055250307218,0.039097410774]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"2c79f9f9f6e2f73302fd","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.9719531209,2.010378687951],[-0.380701377591,-1.263104754225],[1.13619744161,-1.015623651917],[1.899047640564,-1.670161608234],[-1.467593676295,-1.183796615592],[-1.874387517086,-1.676346525835]],\"p1\":[[1.961710668364,2.01067566425],[-0.387086679158,-1.258201413455],[1.137205126007,-1.019137982453],[1.902587406419,-1.669750320898],[-1.469390439548,-1.181545870896],[-1.86812956577,-1.680784686296]],\"v0\":[[-0.087118222175,-0.001495230838],[-0.061411076066,0.041318303887],[0.009582422179,-0.038041662414],[0.014455785314,0.01387781103],[-0.019125610355,-0.005428429998],[0.080124069552,-0.010981974138]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[1.9719531209,2.010378687951],[-0.380701377591,-1.263104754225],[1.13619744161,-1.015623651917],[1.899047640564,-1.670161608234],[-1.467593676295,-1.183796615592],[-1.874387517086,-1.676346525835]],\"p1\":[[1.961710668364,2.01067566425],[-0.387086679158,-1.258201413455],[1.137205126007,-1.019137982453],[1.902587406419,-1.669750320898],[-1.469390439548,-1.181545870896],[-1.86812956577,-1.680784686296]],\"v0\":[[-0.087118222175,-0.001495230838],[-0.061411076066,0.041318303887],[0.009582422179,-0.038041662414],[0.014455785314,0.01387781103],[-0.019125610355,-0.005428429998],[0.080124069552,-0.010981974138]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[1.9719531209,2.010378687951],[-0.380701377591,-1.263104754225],[1.13619744161,-1.015623651917],[1.899047640564,-1.670161608234],[-1.467593676295,-1.183796615592],[-1.874387517086,-1.676346525835]],\"p1\":[[1.961710668364,2.01067566425],[-0.387086679158,-1.258201413455],[1.137205126007,-1.019137982453],[1.902587406419,-1.669750320898],[-1.469390439548,-1.181545870896],[-1.86812956577,-1.680784686296]],\"v0\":[[-0.087118222175,-0.001495230838],[-0.061411076066,0.041318303887],[0.009582422179,-0.038041662414],[0.014455785314,0.01387781103],[-0.019125610355,-0.005428429998],[0.080124069552,-0.010981974138]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"20a76cd654962e4e247f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.721434465557,-1.360697302251],[-1.488856542844,-1.868592957451],[-0.442048909547,-1.058283097073],[-0.102594567301,0.720132565088],[-1.930320473642,0.21597856907],[-1.085933408787,-1.462710322757]],\"p1\":[[-1.705596541586,-1.354854801585],[-1.495719995542,-1.862365742319],[-0.451714842846,-1.049448355442],[-0.109332625079,0.720491531893],[-1.921182106996,0.222898916142],[-1.08734989972,-1.46315669656]],\"v0\":[[0.089805747082,0.057280205499],[-0.073014337669,-0.00223350907],[-0.042678778105,0.079631107855],[-0.039328064874,0.026760530711],[0.057423076442,0.082572907657],[0.010228656362,-0.012866263457]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,1,0,1],\"p0\":[[-1.721434465557,-1.360697302251],[-1.488856542844,-1.868592957451],[-0.442048909547,-1.058283097073],[-0.102594567301,0.720132565088],[-1.930320473642,0.21597856907],[-1.085933408787,-1.462710322757]],\"p1\":[[-1.705596541586,-1.354854801585],[-1.495719995542,-1.862365742319],[-0.451714842846,-1.049448355442],[-0.109332625079,0.720491531893],[-1.921182106996,0.222898916142],[-1.08734989972,-1.46315669656]],\"v0\":[[0.089805747082,0.057280205499],[-0.073014337669,-0.00223350907],[-0.042678778105,0.079631107855],[-0.039328064874,0.026760530711],[0.057423076442,0.082572907657],[0.010228656362,-0.012866263457]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[-1.721434465557,-1.360697302251],[-1.488856542844,-1.868592957451],[-0.442048909547,-1.058283097073],[-0.102594567301,0.720132565088],[-1.930320473642,0.21597856907],[-1.085933408787,-1.462710322757]],\"p1\":[[-1.705596541586,-1.354854801585],[-1.495719995542,-1.862365742319],[-0.451714842846,-1.049448355442],[-0.109332625079,0.720491531893],[-1.921182106996,0.222898916142],[-1.08734989972,-1.46315669656]],\"v0\":[[0.089805747082,0.057280205499],[-0.073014337669,-0.00223350907],[-0.042678778105,0.079631107855],[-0.039328064874,0.026760530711],[0.057423076442,0.082572907657],[0.010228656362,-0.012866263457]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"56bf7712a1ea0b00fd92","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.11945328852,-1.611333385429],[0.854853276508,-0.181302793836],[-1.585423696056,-1.685361262696],[2.007751612453,1.952730283006],[0.66803739105,-1.517770367814],[-1.136794394239,-0.228274946017]],\"p1\":[[0.109848862769,-1.621727073212],[0.846367766631,-0.180009089831],[-1.590561036578,-1.681811667294],[2.006524640883,1.959739848727],[0.681892874272,-1.524950865662],[-1.135018836855,-0.230186396825]],\"v0\":[[-0.047015141505,-0.071782658532],[-0.078136042424,-0.000492366521],[-0.031540062716,0.037064607792],[-0.013349118339,0.053592197329],[0.074046803565,-0.05624449636],[0.022466835466,-0.025743711312]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[0.11945328852,-1.611333385429],[0.854853276508,-0.181302793836],[-1.585423696056,-1.685361262696],[2.007751612453,1.952730283006],[0.66803739105,-1.517770367814],[-1.136794394239,-0.228274946017]],\"p1\":[[0.109848862769,-1.621727073212],[0.846367766631,-0.180009089831],[-1.590561036578,-1.681811667294],[2.006524640883,1.959739848727],[0.681892874272,-1.524950865662],[-1.135018836855,-0.230186396825]],\"v0\":[[-0.047015141505,-0.071782658532],[-0.078136042424,-0.000492366521],[-0.031540062716,0.037064607792],[-0.013349118339,0.053592197329],[0.074046803565,-0.05624449636],[0.022466835466,-0.025743711312]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[0.11945328852,-1.611333385429],[0.854853276508,-0.181302793836],[-1.585423696056,-1.685361262696],[2.007751612453,1.952730283006],[0.66803739105,-1.517770367814],[-1.136794394239,-0.228274946017]],\"p1\":[[0.109848862769,-1.621727073212],[0.846367766631,-0.180009089831],[-1.590561036578,-1.681811667294],[2.006524640883,1.959739848727],[0.681892874272,-1.524950865662],[-1.135018836855,-0.230186396825]],\"v0\":[[-0.047015141505,-0.071782658532],[-0.078136042424,-0.000492366521],[-0.031540062716,0.037064607792],[-0.013349118339,0.053592197329],[0.074046803565,-0.05624449636],[0.022466835466,-0.025743711312]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,0]}"},{"episode_id":"9f9ece0d1ee4c28ca2a6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.058530295391,-0.535874590741],[-1.298220392895,-0.675568899023],[0.907403101852,-0.457282955408],[0.697294510447,0.341500326691],[-0.435452160202,0.813061192169],[0.648364904811,1.115433866129]],\"p1\":[[-2.06607899664,-0.533722470008],[-1.290090097665,-0.667659228338],[0.905160516355,-0.457576419773],[0.701273707495,0.335899779742],[-0.445645725247,0.802532800546],[0.653587783087,1.113641929602]],\"v0\":[[-0.081472037825,0.020436689555],[0.083975604468,0.061571495862],[-0.007462241908,0.01777402872],[0.017481731123,-0.080008392299],[-0.058737735025,-0.071999563862],[0.024110668861,-0.015712158364]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,0],\"p0\":[[-2.058530295391,-0.535874590741],[-1.298220392895,-0.675568899023],[0.907403101852,-0.457282955408],[0.697294510447,0.341500326691],[-0.435452160202,0.813061192169],[0.648364904811,1.115433866129]],\"p1\":[[-2.06607899664,-0.533722470008],[-1.290090097665,-0.667659228338],[0.905160516355,-0.457576419773],[0.701273707495,0.335899779742],[-0.445645725247,0.802532800546],[0.653587783087,1.113641929602]],\"v0\":[[-0.081472037825,0.020436689555],[0.083975604468,0.061571495862],[-0.007462241908,0.01777402872],[0.017481731123,-0.080008392299],[-0.058737735025,-0.071999563862],[0.024110668861,-0.015712158364]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[-2.058530295391,-0.535874590741],[-1.298220392895,-0.675568899023],[0.907403101852,-0.457282955408],[0.697294510447,0.341500326691],[-0.435452160202,0.813061192169],[0.648364904811,1.115433866129]],\"p1\":[[-2.06607899664,-0.533722470008],[-1.290090097665,-0.667659228338],[0.905160516355,-0.457576419773],[0.701273707495,0.335899779742],[-0.445645725247,0.802532800546],[0.653587783087,1.113641929602]],\"v0\":[[-0.081472037825,0.020436689555],[0.083975604468,0.061571495862],[-0.007462241908,0.01777402872],[0.017481731123,-0.080008392299],[-0.058737735025,-0.071999563862],[0.024110668861,-0.015712158364]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,1]}"},{"episode_id":"64679803b9dc5229ce9d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.694691302471,1.596530208641],[-1.23765829438,0.395054736657],[2.116185254947,1.450491513189],[-1.34977695333,-0.165799258094],[0.401650763893,1.966061062878],[0.5510786651,1.380442950537]],\"p1\":[[-0.699232879018,1.591972663689],[-1.233097958765,0.393185990843],[2.123073625894,1.452135695221],[-1.339083632201,-0.150333005598],[0.407108241033,1.960729979019],[0.540363634833,1.381608330468]],\"v0\":[[-0.039093902651,-0.046369812542],[0.050691634172,0.028487825348],[0.053919423549,0.012337614835],[0.078875392618,0.087989246656],[0.043575926606,-0.006552926249],[-0.085110990827,-0.021571616096]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[-0.694691302471,1.596530208641],[-1.23765829438,0.395054736657],[2.116185254947,1.450491513189],[-1.34977695333,-0.165799258094],[0.401650763893,1.966061062878],[0.5510786651,1.380442950537]],\"p1\":[[-0.699232879018,1.591972663689],[-1.233097958765,0.393185990843],[2.123073625894,1.452135695221],[-1.339083632201,-0.150333005598],[0.407108241033,1.960729979019],[0.540363634833,1.381608330468]],\"v0\":[[-0.039093902651,-0.046369812542],[0.050691634172,0.028487825348],[0.053919423549,0.012337614835],[0.078875392618,0.087989246656],[0.043575926606,-0.006552926249],[-0.085110990827,-0.021571616096]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[-0.694691302471,1.596530208641],[-1.23765829438,0.395054736657],[2.116185254947,1.450491513189],[-1.34977695333,-0.165799258094],[0.401650763893,1.966061062878],[0.5510786651,1.380442950537]],\"p1\":[[-0.699232879018,1.591972663689],[-1.233097958765,0.393185990843],[2.123073625894,1.452135695221],[-1.339083632201,-0.150333005598],[0.407108241033,1.960729979019],[0.540363634833,1.381608330468]],\"v0\":[[-0.039093902651,-0.046369812542],[0.050691634172,0.028487825348],[0.053919423549,0.012337614835],[0.078875392618,0.087989246656],[0.043575926606,-0.006552926249],[-0.085110990827,-0.021571616096]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,0]}"},{"episode_id":"4d3996edcee13ff9a4f9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.067856121354,1.240622891123],[0.071797687639,1.694101549674],[-1.425476069481,-1.440321504557],[-2.046365159489,1.871790042802],[0.332608652344,0.133204301115],[1.278390147155,-0.334676561619]],\"p1\":[[-2.062061228537,1.230986065665],[0.070043014278,1.688923147239],[-1.424626216457,-1.44976702413],[-2.03814090183,1.882263479215],[0.330401137754,0.125754712114],[1.272455791147,-0.327498220788]],\"v0\":[[0.062616700909,-0.057216423265],[-0.020671341237,-0.034771016842],[0.018343309394,-0.069950326024],[0.054992220838,0.067935520143],[-0.034277658398,-0.069736730038],[-0.039566068667,0.046584315841]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,1,0],\"p0\":[[-2.067856121354,1.240622891123],[0.071797687639,1.694101549674],[-1.425476069481,-1.440321504557],[-2.046365159489,1.871790042802],[0.332608652344,0.133204301115],[1.278390147155,-0.334676561619]],\"p1\":[[-2.062061228537,1.230986065665],[0.070043014278,1.688923147239],[-1.424626216457,-1.44976702413],[-2.03814090183,1.882263479215],[0.330401137754,0.125754712114],[1.272455791147,-0.327498220788]],\"v0\":[[0.062616700909,-0.057216423265],[-0.020671341237,-0.034771016842],[0.018343309394,-0.069950326024],[0.054992220838,0.067935520143],[-0.034277658398,-0.069736730038],[-0.039566068667,0.046584315841]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-2.067856121354,1.240622891123],[0.071797687639,1.694101549674],[-1.425476069481,-1.440321504557],[-2.046365159489,1.871790042802],[0.332608652344,0.133204301115],[1.278390147155,-0.334676561619]],\"p1\":[[-2.062061228537,1.230986065665],[0.070043014278,1.688923147239],[-1.424626216457,-1.44976702413],[-2.03814090183,1.882263479215],[0.330401137754,0.125754712114],[1.272455791147,-0.327498220788]],\"v0\":[[0.062616700909,-0.057216423265],[-0.020671341237,-0.034771016842],[0.018343309394,-0.069950326024],[0.054992220838,0.067935520143],[-0.034277658398,-0.069736730038],[-0.039566068667,0.046584315841]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"d0adc8bcad1d8fffec03","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.63721942406,-0.442280667008],[0.1260474657,1.290744305212],[0.370063816939,0.787782324566],[0.482938197669,-1.047894959647],[-0.474851814086,-1.035240681812],[0.741382632391,0.081865441324]],\"p1\":[[-0.639004928308,-0.446024403599],[0.126701404826,1.302094112091],[0.375512708681,0.794974790769],[0.479159325117,-1.051878920608],[-0.469511285822,-1.041669252581],[0.746514715422,0.087708907636]],\"v0\":[[0.012479410379,-0.056640805199],[0.023852273647,0.044816061074],[0.033494848593,0.064537902678],[-0.052163525823,-0.012295407453],[0.056458084301,-0.013148320276],[0.017637786927,0.057976161452]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[-0.63721942406,-0.442280667008],[0.1260474657,1.290744305212],[0.370063816939,0.787782324566],[0.482938197669,-1.047894959647],[-0.474851814086,-1.035240681812],[0.741382632391,0.081865441324]],\"p1\":[[-0.639004928308,-0.446024403599],[0.126701404826,1.302094112091],[0.375512708681,0.794974790769],[0.479159325117,-1.051878920608],[-0.469511285822,-1.041669252581],[0.746514715422,0.087708907636]],\"v0\":[[0.012479410379,-0.056640805199],[0.023852273647,0.044816061074],[0.033494848593,0.064537902678],[-0.052163525823,-0.012295407453],[0.056458084301,-0.013148320276],[0.017637786927,0.057976161452]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[-0.63721942406,-0.442280667008],[0.1260474657,1.290744305212],[0.370063816939,0.787782324566],[0.482938197669,-1.047894959647],[-0.474851814086,-1.035240681812],[0.741382632391,0.081865441324]],\"p1\":[[-0.639004928308,-0.446024403599],[0.126701404826,1.302094112091],[0.375512708681,0.794974790769],[0.479159325117,-1.051878920608],[-0.469511285822,-1.041669252581],[0.746514715422,0.087708907636]],\"v0\":[[0.012479410379,-0.056640805199],[0.023852273647,0.044816061074],[0.033494848593,0.064537902678],[-0.052163525823,-0.012295407453],[0.056458084301,-0.013148320276],[0.017637786927,0.057976161452]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"c81f358e2eff62572736","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.017336663219,0.131982215769],[1.705324811465,-0.976098002984],[0.950386056124,-0.22774437893],[0.111941213122,1.901190202781],[1.744194564656,-0.314426892599],[-0.837623013245,-0.373910217025]],\"p1\":[[-0.023724408608,0.131516494845],[1.710718823625,-0.972022760952],[0.958534286639,-0.223659549658],[0.120789080735,1.895633698164],[1.74894401115,-0.317368188228],[-0.82574575125,-0.371124147011]],\"v0\":[[-0.067620479469,0.006013127251],[0.066367853807,-0.003997992346],[0.064520028334,0.035314624244],[0.069075251827,-0.019125022917],[0.073827025363,-0.012465649241],[0.06573926504,0.010782747596]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-0.017336663219,0.131982215769],[1.705324811465,-0.976098002984],[0.950386056124,-0.22774437893],[0.111941213122,1.901190202781],[1.744194564656,-0.314426892599],[-0.837623013245,-0.373910217025]],\"p1\":[[-0.023724408608,0.131516494845],[1.710718823625,-0.972022760952],[0.958534286639,-0.223659549658],[0.120789080735,1.895633698164],[1.74894401115,-0.317368188228],[-0.82574575125,-0.371124147011]],\"v0\":[[-0.067620479469,0.006013127251],[0.066367853807,-0.003997992346],[0.064520028334,0.035314624244],[0.069075251827,-0.019125022917],[0.073827025363,-0.012465649241],[0.06573926504,0.010782747596]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[-0.017336663219,0.131982215769],[1.705324811465,-0.976098002984],[0.950386056124,-0.22774437893],[0.111941213122,1.901190202781],[1.744194564656,-0.314426892599],[-0.837623013245,-0.373910217025]],\"p1\":[[-0.023724408608,0.131516494845],[1.710718823625,-0.972022760952],[0.958534286639,-0.223659549658],[0.120789080735,1.895633698164],[1.74894401115,-0.317368188228],[-0.82574575125,-0.371124147011]],\"v0\":[[-0.067620479469,0.006013127251],[0.066367853807,-0.003997992346],[0.064520028334,0.035314624244],[0.069075251827,-0.019125022917],[0.073827025363,-0.012465649241],[0.06573926504,0.010782747596]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"16c37fa51fceaa65be78","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.389172462657,-1.012225024628],[-0.613355544254,-1.54780885447],[-0.998558257873,1.053662566041],[1.097152245621,-0.184272761092],[-0.280101206017,1.092296489973],[0.747753313197,1.545917289421]],\"p1\":[[1.383037901919,-1.015443514909],[-0.609071183033,-1.547684687648],[-1.010386106618,1.061844575152],[1.090220234366,-0.181459683294],[-0.268732724508,1.089787959705],[0.754176774432,1.556488743734]],\"v0\":[[-0.062875038429,-0.006896767961],[0.041683268837,0.008934268915],[-0.066420885646,0.066376566489],[-0.060260984246,0.013693485162],[0.084045258841,-0.024015360341],[0.040344074199,0.074938536871]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[1.389172462657,-1.012225024628],[-0.613355544254,-1.54780885447],[-0.998558257873,1.053662566041],[1.097152245621,-0.184272761092],[-0.280101206017,1.092296489973],[0.747753313197,1.545917289421]],\"p1\":[[1.383037901919,-1.015443514909],[-0.609071183033,-1.547684687648],[-1.010386106618,1.061844575152],[1.090220234366,-0.181459683294],[-0.268732724508,1.089787959705],[0.754176774432,1.556488743734]],\"v0\":[[-0.062875038429,-0.006896767961],[0.041683268837,0.008934268915],[-0.066420885646,0.066376566489],[-0.060260984246,0.013693485162],[0.084045258841,-0.024015360341],[0.040344074199,0.074938536871]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[1.389172462657,-1.012225024628],[-0.613355544254,-1.54780885447],[-0.998558257873,1.053662566041],[1.097152245621,-0.184272761092],[-0.280101206017,1.092296489973],[0.747753313197,1.545917289421]],\"p1\":[[1.383037901919,-1.015443514909],[-0.609071183033,-1.547684687648],[-1.010386106618,1.061844575152],[1.090220234366,-0.181459683294],[-0.268732724508,1.089787959705],[0.754176774432,1.556488743734]],\"v0\":[[-0.062875038429,-0.006896767961],[0.041683268837,0.008934268915],[-0.066420885646,0.066376566489],[-0.060260984246,0.013693485162],[0.084045258841,-0.024015360341],[0.040344074199,0.074938536871]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,1,1]}"},{"episode_id":"afcf1f3d84d6a2a3c2f6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.356939892153,-0.587302398867],[-0.86502045806,1.519775845257],[0.914693744487,0.505836241382],[2.050766762221,0.534192669279],[-0.461871476995,-0.271919451104],[0.006458926486,0.632071354413]],\"p1\":[[1.356135103632,-0.597680417201],[-0.867765032987,1.519901960265],[0.916841847695,0.499407308435],[2.061002247133,0.52993956712],[-0.466060924262,-0.282979155426],[0.000141320716,0.633821281802]],\"v0\":[[0.001755736478,-0.081284258678],[-0.024051251737,-0.003620795546],[0.012660678804,-0.03233711169],[0.073609988567,-0.048289741129],[-0.040599668259,-0.073967842909],[-0.037315720231,-0.012531211431]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[1.356939892153,-0.587302398867],[-0.86502045806,1.519775845257],[0.914693744487,0.505836241382],[2.050766762221,0.534192669279],[-0.461871476995,-0.271919451104],[0.006458926486,0.632071354413]],\"p1\":[[1.356135103632,-0.597680417201],[-0.867765032987,1.519901960265],[0.916841847695,0.499407308435],[2.061002247133,0.52993956712],[-0.466060924262,-0.282979155426],[0.000141320716,0.633821281802]],\"v0\":[[0.001755736478,-0.081284258678],[-0.024051251737,-0.003620795546],[0.012660678804,-0.03233711169],[0.073609988567,-0.048289741129],[-0.040599668259,-0.073967842909],[-0.037315720231,-0.012531211431]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[1.356939892153,-0.587302398867],[-0.86502045806,1.519775845257],[0.914693744487,0.505836241382],[2.050766762221,0.534192669279],[-0.461871476995,-0.271919451104],[0.006458926486,0.632071354413]],\"p1\":[[1.356135103632,-0.597680417201],[-0.867765032987,1.519901960265],[0.916841847695,0.499407308435],[2.061002247133,0.52993956712],[-0.466060924262,-0.282979155426],[0.000141320716,0.633821281802]],\"v0\":[[0.001755736478,-0.081284258678],[-0.024051251737,-0.003620795546],[0.012660678804,-0.03233711169],[0.073609988567,-0.048289741129],[-0.040599668259,-0.073967842909],[-0.037315720231,-0.012531211431]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"dc32ddab919dde8751d6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.088478399626,2.090483502419],[1.935099045762,-0.461925022467],[1.739984245244,-1.560596783108],[-1.007843507701,-0.77611385741],[0.610634519108,2.093233061592],[-0.782648931,2.074566256917]],\"p1\":[[-2.085220085312,2.098631832972],[1.926884449182,-0.468503989105],[1.730985571919,-1.571771864897],[-1.00385512199,-0.772953787613],[0.61155629197,2.091837641799],[-0.773226313274,2.084918373468]],\"v0\":[[0.035811070403,0.069926756152],[-0.069923443886,-0.068422821655],[-0.073671236358,-0.08369135025],[0.036298779783,0.02170671367],[-0.001925681857,-0.008092915625],[0.07655901781,0.0894990234]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[-2.088478399626,2.090483502419],[1.935099045762,-0.461925022467],[1.739984245244,-1.560596783108],[-1.007843507701,-0.77611385741],[0.610634519108,2.093233061592],[-0.782648931,2.074566256917]],\"p1\":[[-2.085220085312,2.098631832972],[1.926884449182,-0.468503989105],[1.730985571919,-1.571771864897],[-1.00385512199,-0.772953787613],[0.61155629197,2.091837641799],[-0.773226313274,2.084918373468]],\"v0\":[[0.035811070403,0.069926756152],[-0.069923443886,-0.068422821655],[-0.073671236358,-0.08369135025],[0.036298779783,0.02170671367],[-0.001925681857,-0.008092915625],[0.07655901781,0.0894990234]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-2.088478399626,2.090483502419],[1.935099045762,-0.461925022467],[1.739984245244,-1.560596783108],[-1.007843507701,-0.77611385741],[0.610634519108,2.093233061592],[-0.782648931,2.074566256917]],\"p1\":[[-2.085220085312,2.098631832972],[1.926884449182,-0.468503989105],[1.730985571919,-1.571771864897],[-1.00385512199,-0.772953787613],[0.61155629197,2.091837641799],[-0.773226313274,2.084918373468]],\"v0\":[[0.035811070403,0.069926756152],[-0.069923443886,-0.068422821655],[-0.073671236358,-0.08369135025],[0.036298779783,0.02170671367],[-0.001925681857,-0.008092915625],[0.07655901781,0.0894990234]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"77436c982b017e5e2184","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.150369144449,1.435433193107],[-0.89826518306,0.742037910931],[0.247358668584,0.579295582493],[1.34334537689,-0.430365446502],[0.611482796426,-2.019429656256],[2.03333134209,-1.299407482392]],\"p1\":[[0.154687647766,1.434281832114],[-0.902097168709,0.736103516071],[0.251910228464,0.588055870393],[1.335631927831,-0.433965210881],[0.612195076082,-2.013572379374],[2.02509226012,-1.297474201389]],\"v0\":[[0.024413932617,-0.002166669929],[-0.011145729708,-0.041291383233],[0.025358659896,0.055916352576],[-0.054428755018,-0.056505465147],[0.00228249988,0.057665611357],[-0.071498722875,0.035259267311]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,0],\"p0\":[[0.150369144449,1.435433193107],[-0.89826518306,0.742037910931],[0.247358668584,0.579295582493],[1.34334537689,-0.430365446502],[0.611482796426,-2.019429656256],[2.03333134209,-1.299407482392]],\"p1\":[[0.154687647766,1.434281832114],[-0.902097168709,0.736103516071],[0.251910228464,0.588055870393],[1.335631927831,-0.433965210881],[0.612195076082,-2.013572379374],[2.02509226012,-1.297474201389]],\"v0\":[[0.024413932617,-0.002166669929],[-0.011145729708,-0.041291383233],[0.025358659896,0.055916352576],[-0.054428755018,-0.056505465147],[0.00228249988,0.057665611357],[-0.071498722875,0.035259267311]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[0.150369144449,1.435433193107],[-0.89826518306,0.742037910931],[0.247358668584,0.579295582493],[1.34334537689,-0.430365446502],[0.611482796426,-2.019429656256],[2.03333134209,-1.299407482392]],\"p1\":[[0.154687647766,1.434281832114],[-0.902097168709,0.736103516071],[0.251910228464,0.588055870393],[1.335631927831,-0.433965210881],[0.612195076082,-2.013572379374],[2.02509226012,-1.297474201389]],\"v0\":[[0.024413932617,-0.002166669929],[-0.011145729708,-0.041291383233],[0.025358659896,0.055916352576],[-0.054428755018,-0.056505465147],[0.00228249988,0.057665611357],[-0.071498722875,0.035259267311]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"231af387467d54b05ab9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.37747563283,-2.016036182716],[2.045654342464,-2.126993652916],[0.193177023523,1.614263517059],[1.824195248623,0.021772586841],[0.477740224687,-0.086882342511],[-0.937526128752,-0.998819452199]],\"p1\":[[-0.366929955152,-2.012197417606],[2.05293791859,-2.132597751384],[0.18667777444,1.609875979622],[1.822785312844,0.014256903027],[0.475768177902,-0.079615967265],[-0.942792299049,-0.988860524535]],\"v0\":[[0.087999086308,0.045834107417],[0.054971234999,-0.040617044441],[-0.05191390711,-0.046575631533],[-0.023729703444,-0.065998820144],[-0.013765652366,0.058524834199],[-0.031212292894,0.078472123689]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[-0.37747563283,-2.016036182716],[2.045654342464,-2.126993652916],[0.193177023523,1.614263517059],[1.824195248623,0.021772586841],[0.477740224687,-0.086882342511],[-0.937526128752,-0.998819452199]],\"p1\":[[-0.366929955152,-2.012197417606],[2.05293791859,-2.132597751384],[0.18667777444,1.609875979622],[1.822785312844,0.014256903027],[0.475768177902,-0.079615967265],[-0.942792299049,-0.988860524535]],\"v0\":[[0.087999086308,0.045834107417],[0.054971234999,-0.040617044441],[-0.05191390711,-0.046575631533],[-0.023729703444,-0.065998820144],[-0.013765652366,0.058524834199],[-0.031212292894,0.078472123689]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-0.37747563283,-2.016036182716],[2.045654342464,-2.126993652916],[0.193177023523,1.614263517059],[1.824195248623,0.021772586841],[0.477740224687,-0.086882342511],[-0.937526128752,-0.998819452199]],\"p1\":[[-0.366929955152,-2.012197417606],[2.05293791859,-2.132597751384],[0.18667777444,1.609875979622],[1.822785312844,0.014256903027],[0.475768177902,-0.079615967265],[-0.942792299049,-0.988860524535]],\"v0\":[[0.087999086308,0.045834107417],[0.054971234999,-0.040617044441],[-0.05191390711,-0.046575631533],[-0.023729703444,-0.065998820144],[-0.013765652366,0.058524834199],[-0.031212292894,0.078472123689]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"9643188ae0fae5f2b589","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.004883729575,1.903597604434],[2.107055267713,-1.593704181823],[-1.324280434292,0.699152916405],[-0.194929506346,1.372419648785],[-0.82310972414,0.285234917444],[1.065024769715,-0.753028567321]],\"p1\":[[-0.009250001116,1.893588517045],[2.094333359239,-1.585211696931],[-1.31737329833,0.70717634799],[-0.187456004143,1.366557491648],[-0.830568104087,0.286907711372],[1.07250361497,-0.747388709237]],\"v0\":[[-0.023067776843,-0.041958211124],[-0.087282381783,0.053930613917],[0.019613618698,0.073601245122],[0.064242453876,-0.047130739281],[-0.065037146894,-0.01030041678],[0.069138928411,0.038168541168]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[-0.004883729575,1.903597604434],[2.107055267713,-1.593704181823],[-1.324280434292,0.699152916405],[-0.194929506346,1.372419648785],[-0.82310972414,0.285234917444],[1.065024769715,-0.753028567321]],\"p1\":[[-0.009250001116,1.893588517045],[2.094333359239,-1.585211696931],[-1.31737329833,0.70717634799],[-0.187456004143,1.366557491648],[-0.830568104087,0.286907711372],[1.07250361497,-0.747388709237]],\"v0\":[[-0.023067776843,-0.041958211124],[-0.087282381783,0.053930613917],[0.019613618698,0.073601245122],[0.064242453876,-0.047130739281],[-0.065037146894,-0.01030041678],[0.069138928411,0.038168541168]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-0.004883729575,1.903597604434],[2.107055267713,-1.593704181823],[-1.324280434292,0.699152916405],[-0.194929506346,1.372419648785],[-0.82310972414,0.285234917444],[1.065024769715,-0.753028567321]],\"p1\":[[-0.009250001116,1.893588517045],[2.094333359239,-1.585211696931],[-1.31737329833,0.70717634799],[-0.187456004143,1.366557491648],[-0.830568104087,0.286907711372],[1.07250361497,-0.747388709237]],\"v0\":[[-0.023067776843,-0.041958211124],[-0.087282381783,0.053930613917],[0.019613618698,0.073601245122],[0.064242453876,-0.047130739281],[-0.065037146894,-0.01030041678],[0.069138928411,0.038168541168]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,0]}"},{"episode_id":"84ef0fb0f3e90b9241e8","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.554793275729,-0.376007804283],[0.693104553718,-1.198765948618],[0.451795295106,1.123761549588],[-1.786303955329,0.288126961832],[1.099175101032,-1.752125690024],[-0.475759194269,-1.989264688144]],\"p1\":[[1.558658225042,-0.3760938879],[0.684464066641,-1.200961144277],[0.443878773682,1.128144783495],[-1.795138521398,0.283684813722],[1.106523654382,-1.761334707144],[-0.467989343115,-1.988152099987]],\"v0\":[[0.017813559759,-0.011522226998],[-0.056610733687,-0.033695899038],[-0.065646435305,0.026874195234],[-0.066639037351,-0.039713620764],[0.040587531668,-0.047374636226],[0.077093275323,0.018460334106]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[1.554793275729,-0.376007804283],[0.693104553718,-1.198765948618],[0.451795295106,1.123761549588],[-1.786303955329,0.288126961832],[1.099175101032,-1.752125690024],[-0.475759194269,-1.989264688144]],\"p1\":[[1.558658225042,-0.3760938879],[0.684464066641,-1.200961144277],[0.443878773682,1.128144783495],[-1.795138521398,0.283684813722],[1.106523654382,-1.761334707144],[-0.467989343115,-1.988152099987]],\"v0\":[[0.017813559759,-0.011522226998],[-0.056610733687,-0.033695899038],[-0.065646435305,0.026874195234],[-0.066639037351,-0.039713620764],[0.040587531668,-0.047374636226],[0.077093275323,0.018460334106]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[1.554793275729,-0.376007804283],[0.693104553718,-1.198765948618],[0.451795295106,1.123761549588],[-1.786303955329,0.288126961832],[1.099175101032,-1.752125690024],[-0.475759194269,-1.989264688144]],\"p1\":[[1.558658225042,-0.3760938879],[0.684464066641,-1.200961144277],[0.443878773682,1.128144783495],[-1.795138521398,0.283684813722],[1.106523654382,-1.761334707144],[-0.467989343115,-1.988152099987]],\"v0\":[[0.017813559759,-0.011522226998],[-0.056610733687,-0.033695899038],[-0.065646435305,0.026874195234],[-0.066639037351,-0.039713620764],[0.040587531668,-0.047374636226],[0.077093275323,0.018460334106]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,1]}"},{"episode_id":"bbc9a0697563b3e0c3cc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.60906670037,-0.269819978335],[1.734234864843,-1.342184534714],[0.422201300234,0.610587240791],[1.512160236056,-0.453089989945],[2.111148134983,0.986923283828],[-0.84963203503,-1.625333656439]],\"p1\":[[-0.602573437111,-0.267974573438],[1.728122312499,-1.332361942874],[0.430094204419,0.606701797875],[1.514845632727,-0.454647235384],[2.124183438769,0.988863770956],[-0.845796638124,-1.621734812805]],\"v0\":[[0.040597379758,0.023618139243],[-0.032409987057,0.066479432493],[0.07440445509,-0.007459765355],[0.040451776334,0.005331309668],[0.089073208918,-0.004387334476],[0.019797437466,0.014456877954]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-0.60906670037,-0.269819978335],[1.734234864843,-1.342184534714],[0.422201300234,0.610587240791],[1.512160236056,-0.453089989945],[2.111148134983,0.986923283828],[-0.84963203503,-1.625333656439]],\"p1\":[[-0.602573437111,-0.267974573438],[1.728122312499,-1.332361942874],[0.430094204419,0.606701797875],[1.514845632727,-0.454647235384],[2.124183438769,0.988863770956],[-0.845796638124,-1.621734812805]],\"v0\":[[0.040597379758,0.023618139243],[-0.032409987057,0.066479432493],[0.07440445509,-0.007459765355],[0.040451776334,0.005331309668],[0.089073208918,-0.004387334476],[0.019797437466,0.014456877954]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[-0.60906670037,-0.269819978335],[1.734234864843,-1.342184534714],[0.422201300234,0.610587240791],[1.512160236056,-0.453089989945],[2.111148134983,0.986923283828],[-0.84963203503,-1.625333656439]],\"p1\":[[-0.602573437111,-0.267974573438],[1.728122312499,-1.332361942874],[0.430094204419,0.606701797875],[1.514845632727,-0.454647235384],[2.124183438769,0.988863770956],[-0.845796638124,-1.621734812805]],\"v0\":[[0.040597379758,0.023618139243],[-0.032409987057,0.066479432493],[0.07440445509,-0.007459765355],[0.040451776334,0.005331309668],[0.089073208918,-0.004387334476],[0.019797437466,0.014456877954]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"24e27c2760c45273fc87","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.472384224676,-1.814014391004],[0.227471858989,1.532752449268],[-0.058590200493,-0.82072367565],[2.069125976912,1.060061513489],[-0.783928892653,0.469535005017],[-2.061845709613,-1.274032796213]],\"p1\":[[-0.473610877571,-1.811318120041],[0.219371253651,1.530747901852],[-0.063479593308,-0.824697081779],[2.070266451888,1.069697807685],[-0.78000647282,0.471636043838],[-2.059491268558,-1.27665475516]],\"v0\":[[-0.009275861982,0.006793100751],[-0.076535820189,-0.02263562525],[-0.043625250267,-0.015992390556],[0.016179278631,0.08043510193],[0.036500200449,0.016524241133],[0.020096493503,-0.016510332268]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,1,0,0],\"p0\":[[-0.472384224676,-1.814014391004],[0.227471858989,1.532752449268],[-0.058590200493,-0.82072367565],[2.069125976912,1.060061513489],[-0.783928892653,0.469535005017],[-2.061845709613,-1.274032796213]],\"p1\":[[-0.473610877571,-1.811318120041],[0.219371253651,1.530747901852],[-0.063479593308,-0.824697081779],[2.070266451888,1.069697807685],[-0.78000647282,0.471636043838],[-2.059491268558,-1.27665475516]],\"v0\":[[-0.009275861982,0.006793100751],[-0.076535820189,-0.02263562525],[-0.043625250267,-0.015992390556],[0.016179278631,0.08043510193],[0.036500200449,0.016524241133],[0.020096493503,-0.016510332268]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-0.472384224676,-1.814014391004],[0.227471858989,1.532752449268],[-0.058590200493,-0.82072367565],[2.069125976912,1.060061513489],[-0.783928892653,0.469535005017],[-2.061845709613,-1.274032796213]],\"p1\":[[-0.473610877571,-1.811318120041],[0.219371253651,1.530747901852],[-0.063479593308,-0.824697081779],[2.070266451888,1.069697807685],[-0.78000647282,0.471636043838],[-2.059491268558,-1.27665475516]],\"v0\":[[-0.009275861982,0.006793100751],[-0.076535820189,-0.02263562525],[-0.043625250267,-0.015992390556],[0.016179278631,0.08043510193],[0.036500200449,0.016524241133],[0.020096493503,-0.016510332268]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"3394689074c06a921109","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.400762028029,0.455724745054],[-1.625789791862,0.061136454187],[-0.342055291963,-0.358746710038],[-1.165457764924,1.393094666753],[-2.146643247423,-0.221627995763],[2.079594958119,-1.465726813384]],\"p1\":[[-0.408327943881,0.464475438278],[-1.632201894114,0.067340624966],[-0.347807028818,-0.365977100081],[-1.156753535239,1.398636608623],[-2.147817686406,-0.221513168878],[2.075320131118,-1.476917099275]],\"v0\":[[-0.070801531828,0.0715214683],[-0.014015165695,0.073077525607],[-0.05647712765,-0.081808290578],[0.057385259709,0.043770936004],[-0.013210353875,5.036753e-06],[-0.040171007816,-0.088308702551]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[-0.400762028029,0.455724745054],[-1.625789791862,0.061136454187],[-0.342055291963,-0.358746710038],[-1.165457764924,1.393094666753],[-2.146643247423,-0.221627995763],[2.079594958119,-1.465726813384]],\"p1\":[[-0.408327943881,0.464475438278],[-1.632201894114,0.067340624966],[-0.347807028818,-0.365977100081],[-1.156753535239,1.398636608623],[-2.147817686406,-0.221513168878],[2.075320131118,-1.476917099275]],\"v0\":[[-0.070801531828,0.0715214683],[-0.014015165695,0.073077525607],[-0.05647712765,-0.081808290578],[0.057385259709,0.043770936004],[-0.013210353875,5.036753e-06],[-0.040171007816,-0.088308702551]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[-0.400762028029,0.455724745054],[-1.625789791862,0.061136454187],[-0.342055291963,-0.358746710038],[-1.165457764924,1.393094666753],[-2.146643247423,-0.221627995763],[2.079594958119,-1.465726813384]],\"p1\":[[-0.408327943881,0.464475438278],[-1.632201894114,0.067340624966],[-0.347807028818,-0.365977100081],[-1.156753535239,1.398636608623],[-2.147817686406,-0.221513168878],[2.075320131118,-1.476917099275]],\"v0\":[[-0.070801531828,0.0715214683],[-0.014015165695,0.073077525607],[-0.05647712765,-0.081808290578],[0.057385259709,0.043770936004],[-0.013210353875,5.036753e-06],[-0.040171007816,-0.088308702551]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"8a6234db6b6971f2667b","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.302673998481,-2.006731887438],[0.74985434562,-0.412818409612],[-1.049898675733,0.896257031599],[-1.689015314403,0.948200652226],[-1.089571218697,0.187690771763],[-2.155425779238,-0.826393829601]],\"p1\":[[1.311733066214,-2.012698411711],[0.7459578802,-0.406002993991],[-1.051327068328,0.902224562934],[-1.690088795503,0.956511981636],[-1.090306407708,0.183514283929],[-2.148946389827,-0.836329540386]],\"v0\":[[0.07063191488,-0.042431514117],[-0.040023558156,0.055655411799],[-0.042585903103,0.021545700521],[0.03148151308,0.049931610102],[-0.013685945913,-0.004703085784],[0.064223054362,-0.071535176906]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[1.302673998481,-2.006731887438],[0.74985434562,-0.412818409612],[-1.049898675733,0.896257031599],[-1.689015314403,0.948200652226],[-1.089571218697,0.187690771763],[-2.155425779238,-0.826393829601]],\"p1\":[[1.311733066214,-2.012698411711],[0.7459578802,-0.406002993991],[-1.051327068328,0.902224562934],[-1.690088795503,0.956511981636],[-1.090306407708,0.183514283929],[-2.148946389827,-0.836329540386]],\"v0\":[[0.07063191488,-0.042431514117],[-0.040023558156,0.055655411799],[-0.042585903103,0.021545700521],[0.03148151308,0.049931610102],[-0.013685945913,-0.004703085784],[0.064223054362,-0.071535176906]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[1.302673998481,-2.006731887438],[0.74985434562,-0.412818409612],[-1.049898675733,0.896257031599],[-1.689015314403,0.948200652226],[-1.089571218697,0.187690771763],[-2.155425779238,-0.826393829601]],\"p1\":[[1.311733066214,-2.012698411711],[0.7459578802,-0.406002993991],[-1.051327068328,0.902224562934],[-1.690088795503,0.956511981636],[-1.090306407708,0.183514283929],[-2.148946389827,-0.836329540386]],\"v0\":[[0.07063191488,-0.042431514117],[-0.040023558156,0.055655411799],[-0.042585903103,0.021545700521],[0.03148151308,0.049931610102],[-0.013685945913,-0.004703085784],[0.064223054362,-0.071535176906]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"041ff43f092b5c4b92cc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.083133886772,-0.781234743904],[-0.44695559727,1.458180517656],[1.061667086826,-1.483972423345],[-1.667871655314,-0.644326901692],[-1.918174430493,1.5403239917],[0.035413767026,-1.920434744028]],\"p1\":[[0.082941862246,-0.779715371418],[-0.440145987656,1.462888075719],[1.066567095916,-1.490117797386],[-1.662164312496,-0.634297161499],[-1.907668754052,1.543135705175],[0.028325875355,-1.92405666906]],\"v0\":[[0.002052571506,0.021435951613],[0.06529598069,0.057848562308],[0.070896864934,-0.06087172347],[0.027116778885,0.07818867602],[0.070025207393,0.039527895018],[-0.063364722022,-0.058620318618]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[0.083133886772,-0.781234743904],[-0.44695559727,1.458180517656],[1.061667086826,-1.483972423345],[-1.667871655314,-0.644326901692],[-1.918174430493,1.5403239917],[0.035413767026,-1.920434744028]],\"p1\":[[0.082941862246,-0.779715371418],[-0.440145987656,1.462888075719],[1.066567095916,-1.490117797386],[-1.662164312496,-0.634297161499],[-1.907668754052,1.543135705175],[0.028325875355,-1.92405666906]],\"v0\":[[0.002052571506,0.021435951613],[0.06529598069,0.057848562308],[0.070896864934,-0.06087172347],[0.027116778885,0.07818867602],[0.070025207393,0.039527895018],[-0.063364722022,-0.058620318618]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[0.083133886772,-0.781234743904],[-0.44695559727,1.458180517656],[1.061667086826,-1.483972423345],[-1.667871655314,-0.644326901692],[-1.918174430493,1.5403239917],[0.035413767026,-1.920434744028]],\"p1\":[[0.082941862246,-0.779715371418],[-0.440145987656,1.462888075719],[1.066567095916,-1.490117797386],[-1.662164312496,-0.634297161499],[-1.907668754052,1.543135705175],[0.028325875355,-1.92405666906]],\"v0\":[[0.002052571506,0.021435951613],[0.06529598069,0.057848562308],[0.070896864934,-0.06087172347],[0.027116778885,0.07818867602],[0.070025207393,0.039527895018],[-0.063364722022,-0.058620318618]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"4db93734b61398b24cf5","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.108550253612,1.310822410365],[1.718350392417,0.441641262377],[-0.498862944025,-0.742329723401],[-0.334537026474,-1.296137288207],[-0.556677279311,-2.003559482026],[-1.80766331821,-0.065997477243]],\"p1\":[[-2.106248568337,1.305880478311],[1.712676329093,0.434143979903],[-0.496622939819,-0.732012136311],[-0.340888449905,-1.287492635198],[-0.550294950755,-2.003336759682],[-1.814320803498,-0.074471044703]],\"v0\":[[0.024145511709,-0.05207875806],[-0.053695531639,-0.06571416888],[0.023491769595,0.047944702557],[-0.072399495679,0.089515452331],[0.059488508923,0.037174688088],[-0.045688712977,-0.071240412237]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[-2.108550253612,1.310822410365],[1.718350392417,0.441641262377],[-0.498862944025,-0.742329723401],[-0.334537026474,-1.296137288207],[-0.556677279311,-2.003559482026],[-1.80766331821,-0.065997477243]],\"p1\":[[-2.106248568337,1.305880478311],[1.712676329093,0.434143979903],[-0.496622939819,-0.732012136311],[-0.340888449905,-1.287492635198],[-0.550294950755,-2.003336759682],[-1.814320803498,-0.074471044703]],\"v0\":[[0.024145511709,-0.05207875806],[-0.053695531639,-0.06571416888],[0.023491769595,0.047944702557],[-0.072399495679,0.089515452331],[0.059488508923,0.037174688088],[-0.045688712977,-0.071240412237]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-2.108550253612,1.310822410365],[1.718350392417,0.441641262377],[-0.498862944025,-0.742329723401],[-0.334537026474,-1.296137288207],[-0.556677279311,-2.003559482026],[-1.80766331821,-0.065997477243]],\"p1\":[[-2.106248568337,1.305880478311],[1.712676329093,0.434143979903],[-0.496622939819,-0.732012136311],[-0.340888449905,-1.287492635198],[-0.550294950755,-2.003336759682],[-1.814320803498,-0.074471044703]],\"v0\":[[0.024145511709,-0.05207875806],[-0.053695531639,-0.06571416888],[0.023491769595,0.047944702557],[-0.072399495679,0.089515452331],[0.059488508923,0.037174688088],[-0.045688712977,-0.071240412237]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"71809aa67cb9f7b4be42","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.22693630808,-0.640023181786],[0.929253667878,1.589536481837],[-1.34799939261,-1.039077618557],[0.833670232665,0.085116310831],[1.959243229635,-0.535705212345],[-1.89030561624,-0.479108409188]],\"p1\":[[0.230209067998,-0.641293544383],[0.920461831268,1.600744545289],[-1.340773375579,-1.042428311059],[0.840747912568,0.084695845318],[1.947982988503,-0.53213341039],[-1.883206744661,-0.467261826892]],\"v0\":[[0.013324241544,-0.013752754246],[-0.072416109878,0.072073980992],[0.033033932742,-0.017804921831],[0.059439296744,0.023956909675],[-0.07817625731,0.031108303511],[0.083321985224,0.08429287431]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[0.22693630808,-0.640023181786],[0.929253667878,1.589536481837],[-1.34799939261,-1.039077618557],[0.833670232665,0.085116310831],[1.959243229635,-0.535705212345],[-1.89030561624,-0.479108409188]],\"p1\":[[0.230209067998,-0.641293544383],[0.920461831268,1.600744545289],[-1.340773375579,-1.042428311059],[0.840747912568,0.084695845318],[1.947982988503,-0.53213341039],[-1.883206744661,-0.467261826892]],\"v0\":[[0.013324241544,-0.013752754246],[-0.072416109878,0.072073980992],[0.033033932742,-0.017804921831],[0.059439296744,0.023956909675],[-0.07817625731,0.031108303511],[0.083321985224,0.08429287431]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[0.22693630808,-0.640023181786],[0.929253667878,1.589536481837],[-1.34799939261,-1.039077618557],[0.833670232665,0.085116310831],[1.959243229635,-0.535705212345],[-1.89030561624,-0.479108409188]],\"p1\":[[0.230209067998,-0.641293544383],[0.920461831268,1.600744545289],[-1.340773375579,-1.042428311059],[0.840747912568,0.084695845318],[1.947982988503,-0.53213341039],[-1.883206744661,-0.467261826892]],\"v0\":[[0.013324241544,-0.013752754246],[-0.072416109878,0.072073980992],[0.033033932742,-0.017804921831],[0.059439296744,0.023956909675],[-0.07817625731,0.031108303511],[0.083321985224,0.08429287431]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"abb9278ba61f2350246d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.374309139289,1.381404915987],[1.559849382238,-0.06614107347],[1.211960757577,0.821759582401],[0.966614741684,-0.448856682326],[-0.039556183741,-0.009256982522],[-1.310160395012,1.54675874145]],\"p1\":[[1.37667857361,1.381776393105],[1.551473783322,-0.059981901816],[1.216357923435,0.836948061947],[0.962208815538,-0.440179631568],[-0.035178605268,-0.014919583433],[-1.300428380496,1.553958277747]],\"v0\":[[0.028724015991,0.043049466219],[-0.057041283225,0.072136812124],[0.03034133032,0.082155523402],[-0.049757399714,0.050606764822],[0.036306645056,-0.044625980784],[0.078882259129,0.062786701381]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[1.374309139289,1.381404915987],[1.559849382238,-0.06614107347],[1.211960757577,0.821759582401],[0.966614741684,-0.448856682326],[-0.039556183741,-0.009256982522],[-1.310160395012,1.54675874145]],\"p1\":[[1.37667857361,1.381776393105],[1.551473783322,-0.059981901816],[1.216357923435,0.836948061947],[0.962208815538,-0.440179631568],[-0.035178605268,-0.014919583433],[-1.300428380496,1.553958277747]],\"v0\":[[0.028724015991,0.043049466219],[-0.057041283225,0.072136812124],[0.03034133032,0.082155523402],[-0.049757399714,0.050606764822],[0.036306645056,-0.044625980784],[0.078882259129,0.062786701381]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[1.374309139289,1.381404915987],[1.559849382238,-0.06614107347],[1.211960757577,0.821759582401],[0.966614741684,-0.448856682326],[-0.039556183741,-0.009256982522],[-1.310160395012,1.54675874145]],\"p1\":[[1.37667857361,1.381776393105],[1.551473783322,-0.059981901816],[1.216357923435,0.836948061947],[0.962208815538,-0.440179631568],[-0.035178605268,-0.014919583433],[-1.300428380496,1.553958277747]],\"v0\":[[0.028724015991,0.043049466219],[-0.057041283225,0.072136812124],[0.03034133032,0.082155523402],[-0.049757399714,0.050606764822],[0.036306645056,-0.044625980784],[0.078882259129,0.062786701381]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"e0280c262fadbe316974","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[2.138893931633,1.37096755338],[-1.097184641997,1.789087041792],[-1.087930680308,-1.155416246845],[-0.056749113604,1.889176906367],[-0.607683113723,1.025188882301],[0.462011707497,-0.764250033482]],\"p1\":[[2.136931326976,1.381994024416],[-1.106208249469,1.801242654575],[-1.092694551844,-1.162046887455],[-0.056979339513,1.886459556761],[-0.600819896257,1.032894382104],[0.455277016682,-0.762672673495]],\"v0\":[[-0.029314106279,0.085816552606],[-0.055648895247,0.081449212504],[-0.048364806663,-0.060873627482],[-0.001251581116,-0.004457612898],[0.0447299765,0.078229440895],[-0.042248778211,0.012477312652]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,1],\"p0\":[[2.138893931633,1.37096755338],[-1.097184641997,1.789087041792],[-1.087930680308,-1.155416246845],[-0.056749113604,1.889176906367],[-0.607683113723,1.025188882301],[0.462011707497,-0.764250033482]],\"p1\":[[2.136931326976,1.381994024416],[-1.106208249469,1.801242654575],[-1.092694551844,-1.162046887455],[-0.056979339513,1.886459556761],[-0.600819896257,1.032894382104],[0.455277016682,-0.762672673495]],\"v0\":[[-0.029314106279,0.085816552606],[-0.055648895247,0.081449212504],[-0.048364806663,-0.060873627482],[-0.001251581116,-0.004457612898],[0.0447299765,0.078229440895],[-0.042248778211,0.012477312652]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[2.138893931633,1.37096755338],[-1.097184641997,1.789087041792],[-1.087930680308,-1.155416246845],[-0.056749113604,1.889176906367],[-0.607683113723,1.025188882301],[0.462011707497,-0.764250033482]],\"p1\":[[2.136931326976,1.381994024416],[-1.106208249469,1.801242654575],[-1.092694551844,-1.162046887455],[-0.056979339513,1.886459556761],[-0.600819896257,1.032894382104],[0.455277016682,-0.762672673495]],\"v0\":[[-0.029314106279,0.085816552606],[-0.055648895247,0.081449212504],[-0.048364806663,-0.060873627482],[-0.001251581116,-0.004457612898],[0.0447299765,0.078229440895],[-0.042248778211,0.012477312652]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"665c2322ebc1beb5d787","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.068258329742,1.194524478006],[1.314254169342,0.977524008449],[-0.745851528948,-1.481872991515],[1.098836846516,-0.826256326509],[-1.040965334978,-0.699874277682],[0.666551419189,0.434939589585]],\"p1\":[[0.05817340681,1.203057361431],[1.319405316121,0.983593091201],[-0.743188324853,-1.478073877376],[1.109237387076,-0.824702472893],[-1.039159066823,-0.702953972442],[0.656096317467,0.424729434051]],\"v0\":[[-0.067422077991,0.051552455436],[0.017529130769,0.033919647713],[0.021858087868,0.055542175009],[0.076780770181,0.026015743637],[0.030569708294,-0.038232492657],[-0.083639494671,-0.073255165494]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,1],\"p0\":[[0.068258329742,1.194524478006],[1.314254169342,0.977524008449],[-0.745851528948,-1.481872991515],[1.098836846516,-0.826256326509],[-1.040965334978,-0.699874277682],[0.666551419189,0.434939589585]],\"p1\":[[0.05817340681,1.203057361431],[1.319405316121,0.983593091201],[-0.743188324853,-1.478073877376],[1.109237387076,-0.824702472893],[-1.039159066823,-0.702953972442],[0.656096317467,0.424729434051]],\"v0\":[[-0.067422077991,0.051552455436],[0.017529130769,0.033919647713],[0.021858087868,0.055542175009],[0.076780770181,0.026015743637],[0.030569708294,-0.038232492657],[-0.083639494671,-0.073255165494]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[0.068258329742,1.194524478006],[1.314254169342,0.977524008449],[-0.745851528948,-1.481872991515],[1.098836846516,-0.826256326509],[-1.040965334978,-0.699874277682],[0.666551419189,0.434939589585]],\"p1\":[[0.05817340681,1.203057361431],[1.319405316121,0.983593091201],[-0.743188324853,-1.478073877376],[1.109237387076,-0.824702472893],[-1.039159066823,-0.702953972442],[0.656096317467,0.424729434051]],\"v0\":[[-0.067422077991,0.051552455436],[0.017529130769,0.033919647713],[0.021858087868,0.055542175009],[0.076780770181,0.026015743637],[0.030569708294,-0.038232492657],[-0.083639494671,-0.073255165494]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"75c8a62d94883cde5d9c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.19714858711,-1.14407495649],[-0.700418553503,1.903952876282],[1.889970165987,-1.258516061624],[-0.031874364667,0.309750965915],[0.602975639667,0.680852010101],[0.36451691508,2.075565196405]],\"p1\":[[-0.189636344605,-1.147014185348],[-0.704855276709,1.892823711543],[1.892071742209,-1.260124653577],[-0.031153612369,0.320742303937],[0.610576962042,0.683376135894],[0.356605299182,2.063377578417]],\"v0\":[[0.051846145588,-0.049158216046],[-0.061721293232,-0.074477506746],[0.036047287846,-0.028820797978],[-0.011661617623,0.080399527184],[0.086105708861,0.026565814949],[-0.05405327898,-0.074084985725]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[-0.19714858711,-1.14407495649],[-0.700418553503,1.903952876282],[1.889970165987,-1.258516061624],[-0.031874364667,0.309750965915],[0.602975639667,0.680852010101],[0.36451691508,2.075565196405]],\"p1\":[[-0.189636344605,-1.147014185348],[-0.704855276709,1.892823711543],[1.892071742209,-1.260124653577],[-0.031153612369,0.320742303937],[0.610576962042,0.683376135894],[0.356605299182,2.063377578417]],\"v0\":[[0.051846145588,-0.049158216046],[-0.061721293232,-0.074477506746],[0.036047287846,-0.028820797978],[-0.011661617623,0.080399527184],[0.086105708861,0.026565814949],[-0.05405327898,-0.074084985725]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[-0.19714858711,-1.14407495649],[-0.700418553503,1.903952876282],[1.889970165987,-1.258516061624],[-0.031874364667,0.309750965915],[0.602975639667,0.680852010101],[0.36451691508,2.075565196405]],\"p1\":[[-0.189636344605,-1.147014185348],[-0.704855276709,1.892823711543],[1.892071742209,-1.260124653577],[-0.031153612369,0.320742303937],[0.610576962042,0.683376135894],[0.356605299182,2.063377578417]],\"v0\":[[0.051846145588,-0.049158216046],[-0.061721293232,-0.074477506746],[0.036047287846,-0.028820797978],[-0.011661617623,0.080399527184],[0.086105708861,0.026565814949],[-0.05405327898,-0.074084985725]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"2c3d419e4238173384b3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.893494016424,-1.383728873676],[0.525902613344,0.892338842799],[-0.013674498384,-0.196570492235],[-0.860564049465,0.857524859262],[0.671246225552,-2.089362482564],[-1.265566760731,-0.824952602739]],\"p1\":[[1.898228844914,-1.39038670649],[0.524253615554,0.888540124497],[-0.019954965545,-0.207216450017],[-0.857714530634,0.849671260064],[0.673251660295,-2.100121032557],[-1.277541722961,-0.828648679999]],\"v0\":[[0.027704536347,-0.05480930411],[-0.025710376869,-0.045149900619],[-0.055740177422,-0.082345871812],[0.036156077454,-0.07767034412],[0.018687547275,-0.078653877033],[-0.087052982762,-0.023126830204]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[1.893494016424,-1.383728873676],[0.525902613344,0.892338842799],[-0.013674498384,-0.196570492235],[-0.860564049465,0.857524859262],[0.671246225552,-2.089362482564],[-1.265566760731,-0.824952602739]],\"p1\":[[1.898228844914,-1.39038670649],[0.524253615554,0.888540124497],[-0.019954965545,-0.207216450017],[-0.857714530634,0.849671260064],[0.673251660295,-2.100121032557],[-1.277541722961,-0.828648679999]],\"v0\":[[0.027704536347,-0.05480930411],[-0.025710376869,-0.045149900619],[-0.055740177422,-0.082345871812],[0.036156077454,-0.07767034412],[0.018687547275,-0.078653877033],[-0.087052982762,-0.023126830204]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[1.893494016424,-1.383728873676],[0.525902613344,0.892338842799],[-0.013674498384,-0.196570492235],[-0.860564049465,0.857524859262],[0.671246225552,-2.089362482564],[-1.265566760731,-0.824952602739]],\"p1\":[[1.898228844914,-1.39038670649],[0.524253615554,0.888540124497],[-0.019954965545,-0.207216450017],[-0.857714530634,0.849671260064],[0.673251660295,-2.100121032557],[-1.277541722961,-0.828648679999]],\"v0\":[[0.027704536347,-0.05480930411],[-0.025710376869,-0.045149900619],[-0.055740177422,-0.082345871812],[0.036156077454,-0.07767034412],[0.018687547275,-0.078653877033],[-0.087052982762,-0.023126830204]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,0,1]}"},{"episode_id":"63a728b46d728a6cc670","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.369432692548,0.457621793916],[-1.641263996151,-1.460602022748],[-0.786115420312,2.079511900032],[1.510149404308,-0.384228257956],[-0.669014813043,-1.335667786357],[1.476676927746,-1.678272020311]],\"p1\":[[-0.362283782487,0.449657052005],[-1.629560470774,-1.461662731521],[-0.784395685387,2.068273294388],[1.504800584268,-0.392916891699],[-0.659847398481,-1.33211799749],[1.481993637187,-1.670705030063]],\"v0\":[[0.062384252372,-0.077750082182],[0.077389451432,-0.010385450652],[0.01262763055,-0.087904174825],[-0.038130238076,-0.057995524677],[0.079807690293,0.033551460351],[0.053483499477,0.051851180682]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,1,1],\"p0\":[[-0.369432692548,0.457621793916],[-1.641263996151,-1.460602022748],[-0.786115420312,2.079511900032],[1.510149404308,-0.384228257956],[-0.669014813043,-1.335667786357],[1.476676927746,-1.678272020311]],\"p1\":[[-0.362283782487,0.449657052005],[-1.629560470774,-1.461662731521],[-0.784395685387,2.068273294388],[1.504800584268,-0.392916891699],[-0.659847398481,-1.33211799749],[1.481993637187,-1.670705030063]],\"v0\":[[0.062384252372,-0.077750082182],[0.077389451432,-0.010385450652],[0.01262763055,-0.087904174825],[-0.038130238076,-0.057995524677],[0.079807690293,0.033551460351],[0.053483499477,0.051851180682]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[-0.369432692548,0.457621793916],[-1.641263996151,-1.460602022748],[-0.786115420312,2.079511900032],[1.510149404308,-0.384228257956],[-0.669014813043,-1.335667786357],[1.476676927746,-1.678272020311]],\"p1\":[[-0.362283782487,0.449657052005],[-1.629560470774,-1.461662731521],[-0.784395685387,2.068273294388],[1.504800584268,-0.392916891699],[-0.659847398481,-1.33211799749],[1.481993637187,-1.670705030063]],\"v0\":[[0.062384252372,-0.077750082182],[0.077389451432,-0.010385450652],[0.01262763055,-0.087904174825],[-0.038130238076,-0.057995524677],[0.079807690293,0.033551460351],[0.053483499477,0.051851180682]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"1f53a5aa26d73cb3a666","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.717427492943,1.326873749025],[-0.084300673725,-1.658940872592],[1.605234332947,-0.338414276488],[1.998165085976,-0.80008844547],[-0.052841973811,-0.670160486477],[0.876931924221,0.981911599427]],\"p1\":[[-0.723547307975,1.33620584426],[-0.080894652782,-1.661542608842],[1.596164518654,-0.326823632445],[2.011035660613,-0.806103719126],[-0.061710458076,-0.670854371493],[0.869451610446,0.990739680754]],\"v0\":[[-0.053113412504,0.075587227781],[0.023893493557,-0.038288742018],[-0.05495419704,0.068010751368],[0.085791342101,-0.025677954299],[-0.068265678052,0.008420941532],[-0.060533479581,0.082280489657]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[-0.717427492943,1.326873749025],[-0.084300673725,-1.658940872592],[1.605234332947,-0.338414276488],[1.998165085976,-0.80008844547],[-0.052841973811,-0.670160486477],[0.876931924221,0.981911599427]],\"p1\":[[-0.723547307975,1.33620584426],[-0.080894652782,-1.661542608842],[1.596164518654,-0.326823632445],[2.011035660613,-0.806103719126],[-0.061710458076,-0.670854371493],[0.869451610446,0.990739680754]],\"v0\":[[-0.053113412504,0.075587227781],[0.023893493557,-0.038288742018],[-0.05495419704,0.068010751368],[0.085791342101,-0.025677954299],[-0.068265678052,0.008420941532],[-0.060533479581,0.082280489657]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-0.717427492943,1.326873749025],[-0.084300673725,-1.658940872592],[1.605234332947,-0.338414276488],[1.998165085976,-0.80008844547],[-0.052841973811,-0.670160486477],[0.876931924221,0.981911599427]],\"p1\":[[-0.723547307975,1.33620584426],[-0.080894652782,-1.661542608842],[1.596164518654,-0.326823632445],[2.011035660613,-0.806103719126],[-0.061710458076,-0.670854371493],[0.869451610446,0.990739680754]],\"v0\":[[-0.053113412504,0.075587227781],[0.023893493557,-0.038288742018],[-0.05495419704,0.068010751368],[0.085791342101,-0.025677954299],[-0.068265678052,0.008420941532],[-0.060533479581,0.082280489657]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"ff7a960746780536f52b","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.298015054785,-1.028387018421],[-0.982101117696,-0.245136925099],[0.906307118728,-0.997550711545],[-0.97376212505,-1.160416641913],[-2.046659970124,1.494969952908],[-1.121667040446,-1.749578112403]],\"p1\":[[-0.294255768733,-1.017888964845],[-0.978362231649,-0.234794805988],[0.901051193546,-0.994936571259],[-0.967995320942,-1.161299194674],[-2.044724586073,1.485240003903],[-1.129656861215,-1.756090319808]],\"v0\":[[0.021743510799,0.077898727029],[0.020544126294,0.087200539797],[-0.024137425373,0.018705759577],[0.067186701756,-0.003973459466],[0.007670290315,-0.069422444246],[-0.07671875123,-0.057662424355]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-0.298015054785,-1.028387018421],[-0.982101117696,-0.245136925099],[0.906307118728,-0.997550711545],[-0.97376212505,-1.160416641913],[-2.046659970124,1.494969952908],[-1.121667040446,-1.749578112403]],\"p1\":[[-0.294255768733,-1.017888964845],[-0.978362231649,-0.234794805988],[0.901051193546,-0.994936571259],[-0.967995320942,-1.161299194674],[-2.044724586073,1.485240003903],[-1.129656861215,-1.756090319808]],\"v0\":[[0.021743510799,0.077898727029],[0.020544126294,0.087200539797],[-0.024137425373,0.018705759577],[0.067186701756,-0.003973459466],[0.007670290315,-0.069422444246],[-0.07671875123,-0.057662424355]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-0.298015054785,-1.028387018421],[-0.982101117696,-0.245136925099],[0.906307118728,-0.997550711545],[-0.97376212505,-1.160416641913],[-2.046659970124,1.494969952908],[-1.121667040446,-1.749578112403]],\"p1\":[[-0.294255768733,-1.017888964845],[-0.978362231649,-0.234794805988],[0.901051193546,-0.994936571259],[-0.967995320942,-1.161299194674],[-2.044724586073,1.485240003903],[-1.129656861215,-1.756090319808]],\"v0\":[[0.021743510799,0.077898727029],[0.020544126294,0.087200539797],[-0.024137425373,0.018705759577],[0.067186701756,-0.003973459466],[0.007670290315,-0.069422444246],[-0.07671875123,-0.057662424355]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"c6485be243560e90593f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.392106408518,-0.688004015427],[1.9690781977,0.165146991043],[-0.412998639123,-1.723193605917],[0.579060159349,-0.37956981826],[-0.658153663584,0.513308074214],[-0.758142046273,1.572782266597]],\"p1\":[[-1.395337234684,-0.688660840678],[1.96270415721,0.162327250901],[-0.423128099016,-1.732803679675],[0.588634136721,-0.390045447017],[-0.654087557035,0.514138783976],[-0.767916845313,1.574838235186]],\"v0\":[[-0.013159486974,-0.001152007464],[-0.064725780907,-0.026102025181],[-0.085358011398,-0.065978300417],[0.072835237568,-0.083962652749],[0.036232568375,0.006340797521],[-0.078066540569,-0.001442391356]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[-1.392106408518,-0.688004015427],[1.9690781977,0.165146991043],[-0.412998639123,-1.723193605917],[0.579060159349,-0.37956981826],[-0.658153663584,0.513308074214],[-0.758142046273,1.572782266597]],\"p1\":[[-1.395337234684,-0.688660840678],[1.96270415721,0.162327250901],[-0.423128099016,-1.732803679675],[0.588634136721,-0.390045447017],[-0.654087557035,0.514138783976],[-0.767916845313,1.574838235186]],\"v0\":[[-0.013159486974,-0.001152007464],[-0.064725780907,-0.026102025181],[-0.085358011398,-0.065978300417],[0.072835237568,-0.083962652749],[0.036232568375,0.006340797521],[-0.078066540569,-0.001442391356]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-1.392106408518,-0.688004015427],[1.9690781977,0.165146991043],[-0.412998639123,-1.723193605917],[0.579060159349,-0.37956981826],[-0.658153663584,0.513308074214],[-0.758142046273,1.572782266597]],\"p1\":[[-1.395337234684,-0.688660840678],[1.96270415721,0.162327250901],[-0.423128099016,-1.732803679675],[0.588634136721,-0.390045447017],[-0.654087557035,0.514138783976],[-0.767916845313,1.574838235186]],\"v0\":[[-0.013159486974,-0.001152007464],[-0.064725780907,-0.026102025181],[-0.085358011398,-0.065978300417],[0.072835237568,-0.083962652749],[0.036232568375,0.006340797521],[-0.078066540569,-0.001442391356]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"908cdacb27ee6e9d128f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.822819403883,-0.696162902207],[-1.314148377308,0.217898996508],[0.50574163914,-0.840726882768],[0.145702382658,-1.488203829775],[1.471525705848,-1.531433772214],[1.312309110076,-0.791313329572]],\"p1\":[[-0.821378602999,-0.693842476928],[-1.31659921915,0.208946147613],[0.497688582513,-0.84896353237],[0.147553486458,-1.483861098725],[1.470600673572,-1.52317726339],[1.303828698417,-0.788089226905]],\"v0\":[[-0.012988841914,0.018108004657],[-0.045247298589,-0.050433442898],[-0.06830462316,-0.05155987914],[-8.1164522e-05,0.003363127326],[0.025501957425,0.039936854466],[-0.0373586769,0.048537579955]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,1],\"p0\":[[-0.822819403883,-0.696162902207],[-1.314148377308,0.217898996508],[0.50574163914,-0.840726882768],[0.145702382658,-1.488203829775],[1.471525705848,-1.531433772214],[1.312309110076,-0.791313329572]],\"p1\":[[-0.821378602999,-0.693842476928],[-1.31659921915,0.208946147613],[0.497688582513,-0.84896353237],[0.147553486458,-1.483861098725],[1.470600673572,-1.52317726339],[1.303828698417,-0.788089226905]],\"v0\":[[-0.012988841914,0.018108004657],[-0.045247298589,-0.050433442898],[-0.06830462316,-0.05155987914],[-8.1164522e-05,0.003363127326],[0.025501957425,0.039936854466],[-0.0373586769,0.048537579955]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[-0.822819403883,-0.696162902207],[-1.314148377308,0.217898996508],[0.50574163914,-0.840726882768],[0.145702382658,-1.488203829775],[1.471525705848,-1.531433772214],[1.312309110076,-0.791313329572]],\"p1\":[[-0.821378602999,-0.693842476928],[-1.31659921915,0.208946147613],[0.497688582513,-0.84896353237],[0.147553486458,-1.483861098725],[1.470600673572,-1.52317726339],[1.303828698417,-0.788089226905]],\"v0\":[[-0.012988841914,0.018108004657],[-0.045247298589,-0.050433442898],[-0.06830462316,-0.05155987914],[-8.1164522e-05,0.003363127326],[0.025501957425,0.039936854466],[-0.0373586769,0.048537579955]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,1]}"},{"episode_id":"531305d653ea000101fe","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.872987271003,0.04974531208],[1.603166558608,-0.612886699512],[-0.554742445272,-0.276481479009],[0.924070620318,-1.639472269685],[-1.91503086219,-1.61793480143],[-2.122640952849,0.015435255041]],\"p1\":[[0.863812169522,0.041180026333],[1.600766863034,-0.607296577372],[-0.555266562481,-0.284615403896],[0.93483564587,-1.636369758117],[-1.922824086876,-1.608423668471],[-2.11898950642,0.012906256336]],\"v0\":[[-0.075060982484,-0.087858356925],[-0.040385136239,0.04861871025],[-0.000667088665,-0.070858306807],[0.089182187184,0.041411759038],[-0.058855813248,0.088134398508],[0.040156275394,-0.027985226331]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[0.872987271003,0.04974531208],[1.603166558608,-0.612886699512],[-0.554742445272,-0.276481479009],[0.924070620318,-1.639472269685],[-1.91503086219,-1.61793480143],[-2.122640952849,0.015435255041]],\"p1\":[[0.863812169522,0.041180026333],[1.600766863034,-0.607296577372],[-0.555266562481,-0.284615403896],[0.93483564587,-1.636369758117],[-1.922824086876,-1.608423668471],[-2.11898950642,0.012906256336]],\"v0\":[[-0.075060982484,-0.087858356925],[-0.040385136239,0.04861871025],[-0.000667088665,-0.070858306807],[0.089182187184,0.041411759038],[-0.058855813248,0.088134398508],[0.040156275394,-0.027985226331]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[0.872987271003,0.04974531208],[1.603166558608,-0.612886699512],[-0.554742445272,-0.276481479009],[0.924070620318,-1.639472269685],[-1.91503086219,-1.61793480143],[-2.122640952849,0.015435255041]],\"p1\":[[0.863812169522,0.041180026333],[1.600766863034,-0.607296577372],[-0.555266562481,-0.284615403896],[0.93483564587,-1.636369758117],[-1.922824086876,-1.608423668471],[-2.11898950642,0.012906256336]],\"v0\":[[-0.075060982484,-0.087858356925],[-0.040385136239,0.04861871025],[-0.000667088665,-0.070858306807],[0.089182187184,0.041411759038],[-0.058855813248,0.088134398508],[0.040156275394,-0.027985226331]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"7f8ab627bbffaff68e5f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.642168072246,1.093282322026],[1.15220731644,-1.4468075662],[0.795035601893,-2.038149598439],[0.413469060178,0.254135081137],[0.184263403872,0.929818640514],[-2.0330890014,-0.247413061522]],\"p1\":[[-1.642512928845,1.089116183953],[1.150656311486,-1.439937916492],[0.786840307178,-2.033904769932],[0.415317440146,0.251328557142],[0.187995887604,0.936784487838],[-2.044724682145,-0.248465761421]],\"v0\":[[-0.008989541824,-0.037249701124],[-0.003147706152,0.070707266628],[-0.079582703672,0.016954783721],[0.005710848864,0.003855156809],[0.037430614536,0.033895656857],[-0.085971289354,-0.004371799787]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[-1.642168072246,1.093282322026],[1.15220731644,-1.4468075662],[0.795035601893,-2.038149598439],[0.413469060178,0.254135081137],[0.184263403872,0.929818640514],[-2.0330890014,-0.247413061522]],\"p1\":[[-1.642512928845,1.089116183953],[1.150656311486,-1.439937916492],[0.786840307178,-2.033904769932],[0.415317440146,0.251328557142],[0.187995887604,0.936784487838],[-2.044724682145,-0.248465761421]],\"v0\":[[-0.008989541824,-0.037249701124],[-0.003147706152,0.070707266628],[-0.079582703672,0.016954783721],[0.005710848864,0.003855156809],[0.037430614536,0.033895656857],[-0.085971289354,-0.004371799787]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[-1.642168072246,1.093282322026],[1.15220731644,-1.4468075662],[0.795035601893,-2.038149598439],[0.413469060178,0.254135081137],[0.184263403872,0.929818640514],[-2.0330890014,-0.247413061522]],\"p1\":[[-1.642512928845,1.089116183953],[1.150656311486,-1.439937916492],[0.786840307178,-2.033904769932],[0.415317440146,0.251328557142],[0.187995887604,0.936784487838],[-2.044724682145,-0.248465761421]],\"v0\":[[-0.008989541824,-0.037249701124],[-0.003147706152,0.070707266628],[-0.079582703672,0.016954783721],[0.005710848864,0.003855156809],[0.037430614536,0.033895656857],[-0.085971289354,-0.004371799787]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,1]}"},{"episode_id":"7e61d5fd944197b6d220","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.896657135095,1.05556384178],[-0.925991271009,-0.712916094921],[-1.603442214348,0.056076758256],[0.432711130575,2.072237554226],[-1.518251990771,-1.623426924317],[1.9848516369,-0.481634675627]],\"p1\":[[-0.899229372027,1.056550527937],[-0.934454908717,-0.705172455315],[-1.614154752491,0.059559679144],[0.422559282401,2.081514524081],[-1.514347058054,-1.632633468655],[1.980482815808,-0.476369472971]],\"v0\":[[-0.012785957061,0.025802305512],[-0.084455465873,0.058798074368],[-0.085916558455,0.005421602462],[-0.087154086698,0.078900472476],[0.038752288542,-0.064259626265],[-0.038141464903,0.04157779498]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,1],\"p0\":[[-0.896657135095,1.05556384178],[-0.925991271009,-0.712916094921],[-1.603442214348,0.056076758256],[0.432711130575,2.072237554226],[-1.518251990771,-1.623426924317],[1.9848516369,-0.481634675627]],\"p1\":[[-0.899229372027,1.056550527937],[-0.934454908717,-0.705172455315],[-1.614154752491,0.059559679144],[0.422559282401,2.081514524081],[-1.514347058054,-1.632633468655],[1.980482815808,-0.476369472971]],\"v0\":[[-0.012785957061,0.025802305512],[-0.084455465873,0.058798074368],[-0.085916558455,0.005421602462],[-0.087154086698,0.078900472476],[0.038752288542,-0.064259626265],[-0.038141464903,0.04157779498]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-0.896657135095,1.05556384178],[-0.925991271009,-0.712916094921],[-1.603442214348,0.056076758256],[0.432711130575,2.072237554226],[-1.518251990771,-1.623426924317],[1.9848516369,-0.481634675627]],\"p1\":[[-0.899229372027,1.056550527937],[-0.934454908717,-0.705172455315],[-1.614154752491,0.059559679144],[0.422559282401,2.081514524081],[-1.514347058054,-1.632633468655],[1.980482815808,-0.476369472971]],\"v0\":[[-0.012785957061,0.025802305512],[-0.084455465873,0.058798074368],[-0.085916558455,0.005421602462],[-0.087154086698,0.078900472476],[0.038752288542,-0.064259626265],[-0.038141464903,0.04157779498]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"81c904026b89306efa93","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.516482178625,-2.057504983072],[0.786094128322,-0.051229640882],[-1.718294924808,0.209172159145],[0.909926747719,0.840282152646],[1.1759112687,-1.266170756682],[2.048722128826,0.906313216459]],\"p1\":[[0.522422647353,-2.066290730564],[0.795160045297,-0.040250302453],[-1.714588365909,0.217229428822],[0.899566138358,0.84703734327],[1.186539804313,-1.269699197017],[2.042811309923,0.915326971297]],\"v0\":[[0.060898327224,-0.058085339634],[0.070713697822,0.085870468097],[0.038779740815,0.068316282687],[-0.078751373777,0.07269930678],[0.082493574164,-0.049190148523],[-0.065216866665,0.067817478445]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[0.516482178625,-2.057504983072],[0.786094128322,-0.051229640882],[-1.718294924808,0.209172159145],[0.909926747719,0.840282152646],[1.1759112687,-1.266170756682],[2.048722128826,0.906313216459]],\"p1\":[[0.522422647353,-2.066290730564],[0.795160045297,-0.040250302453],[-1.714588365909,0.217229428822],[0.899566138358,0.84703734327],[1.186539804313,-1.269699197017],[2.042811309923,0.915326971297]],\"v0\":[[0.060898327224,-0.058085339634],[0.070713697822,0.085870468097],[0.038779740815,0.068316282687],[-0.078751373777,0.07269930678],[0.082493574164,-0.049190148523],[-0.065216866665,0.067817478445]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[0.516482178625,-2.057504983072],[0.786094128322,-0.051229640882],[-1.718294924808,0.209172159145],[0.909926747719,0.840282152646],[1.1759112687,-1.266170756682],[2.048722128826,0.906313216459]],\"p1\":[[0.522422647353,-2.066290730564],[0.795160045297,-0.040250302453],[-1.714588365909,0.217229428822],[0.899566138358,0.84703734327],[1.186539804313,-1.269699197017],[2.042811309923,0.915326971297]],\"v0\":[[0.060898327224,-0.058085339634],[0.070713697822,0.085870468097],[0.038779740815,0.068316282687],[-0.078751373777,0.07269930678],[0.082493574164,-0.049190148523],[-0.065216866665,0.067817478445]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"03de9d5137abfde66b1e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.603360326906,-0.786345109455],[-1.198592320952,0.630220852271],[0.700259828002,-0.860195053623],[-1.771845749269,0.789918806555],[0.290923510562,-1.419012737064],[1.483474473942,-0.707409391256]],\"p1\":[[-0.611427901456,-0.780662305049],[-1.18693385898,0.622165771421],[0.708363479583,-0.857732215159],[-1.769123046289,0.796631567377],[0.280758392433,-1.414436050681],[1.4916874554,-0.697457073669]],\"v0\":[[-0.051049953089,0.048894888628],[0.071009328007,-0.067287790704],[0.060619003633,0.006089353361],[0.061431077343,0.041079187716],[-0.074454302216,0.072686670851],[0.036320723908,0.076307080251]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[-0.603360326906,-0.786345109455],[-1.198592320952,0.630220852271],[0.700259828002,-0.860195053623],[-1.771845749269,0.789918806555],[0.290923510562,-1.419012737064],[1.483474473942,-0.707409391256]],\"p1\":[[-0.611427901456,-0.780662305049],[-1.18693385898,0.622165771421],[0.708363479583,-0.857732215159],[-1.769123046289,0.796631567377],[0.280758392433,-1.414436050681],[1.4916874554,-0.697457073669]],\"v0\":[[-0.051049953089,0.048894888628],[0.071009328007,-0.067287790704],[0.060619003633,0.006089353361],[0.061431077343,0.041079187716],[-0.074454302216,0.072686670851],[0.036320723908,0.076307080251]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[-0.603360326906,-0.786345109455],[-1.198592320952,0.630220852271],[0.700259828002,-0.860195053623],[-1.771845749269,0.789918806555],[0.290923510562,-1.419012737064],[1.483474473942,-0.707409391256]],\"p1\":[[-0.611427901456,-0.780662305049],[-1.18693385898,0.622165771421],[0.708363479583,-0.857732215159],[-1.769123046289,0.796631567377],[0.280758392433,-1.414436050681],[1.4916874554,-0.697457073669]],\"v0\":[[-0.051049953089,0.048894888628],[0.071009328007,-0.067287790704],[0.060619003633,0.006089353361],[0.061431077343,0.041079187716],[-0.074454302216,0.072686670851],[0.036320723908,0.076307080251]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,0]}"},{"episode_id":"60517f5499d2da70fe16","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.667098411716,1.355385658426],[0.156803870577,1.652428567404],[-0.630505978032,0.143894314004],[1.844208694247,-1.845648100624],[-2.123580521017,0.284267087553],[-1.152257271685,-1.671072936674]],\"p1\":[[-0.6619445981,1.343942457951],[0.158951322873,1.640037738825],[-0.640928162517,0.147811743454],[1.848513204516,-1.838105159465],[-2.11993717944,0.275019766222],[-1.161100035683,-1.660366167881]],\"v0\":[[0.032826912269,-0.077008494907],[0.040972320176,-0.080715548814],[-0.082438263414,0.022866489721],[0.050761063244,0.052135237716],[0.004261686428,-0.0762420346],[-0.079848974741,0.068012592688]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[-0.667098411716,1.355385658426],[0.156803870577,1.652428567404],[-0.630505978032,0.143894314004],[1.844208694247,-1.845648100624],[-2.123580521017,0.284267087553],[-1.152257271685,-1.671072936674]],\"p1\":[[-0.6619445981,1.343942457951],[0.158951322873,1.640037738825],[-0.640928162517,0.147811743454],[1.848513204516,-1.838105159465],[-2.11993717944,0.275019766222],[-1.161100035683,-1.660366167881]],\"v0\":[[0.032826912269,-0.077008494907],[0.040972320176,-0.080715548814],[-0.082438263414,0.022866489721],[0.050761063244,0.052135237716],[0.004261686428,-0.0762420346],[-0.079848974741,0.068012592688]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[-0.667098411716,1.355385658426],[0.156803870577,1.652428567404],[-0.630505978032,0.143894314004],[1.844208694247,-1.845648100624],[-2.123580521017,0.284267087553],[-1.152257271685,-1.671072936674]],\"p1\":[[-0.6619445981,1.343942457951],[0.158951322873,1.640037738825],[-0.640928162517,0.147811743454],[1.848513204516,-1.838105159465],[-2.11993717944,0.275019766222],[-1.161100035683,-1.660366167881]],\"v0\":[[0.032826912269,-0.077008494907],[0.040972320176,-0.080715548814],[-0.082438263414,0.022866489721],[0.050761063244,0.052135237716],[0.004261686428,-0.0762420346],[-0.079848974741,0.068012592688]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,0,1]}"},{"episode_id":"48820e43836a72abf1f1","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.649126659237,0.341538529953],[-1.928806853656,0.183967561907],[-1.097340020414,0.357574467106],[1.728683394831,-0.086565395668],[0.954050710726,-0.341052732455],[0.785386380379,1.593836892805]],\"p1\":[[0.657022706912,0.352952105773],[-1.932412724417,0.190781667954],[-1.086780427417,0.361633061482],[1.737213979143,-0.090988958575],[0.956294278942,-0.348901369715],[0.77558437588,1.605087311289]],\"v0\":[[0.078760549475,0.078840778326],[-0.005940047141,0.06095719307],[0.081647744478,0.030363124548],[0.038161393128,-0.035594470419],[0.023336438469,-0.033124139555],[-0.084116762239,0.075761635372]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,0],\"p0\":[[0.649126659237,0.341538529953],[-1.928806853656,0.183967561907],[-1.097340020414,0.357574467106],[1.728683394831,-0.086565395668],[0.954050710726,-0.341052732455],[0.785386380379,1.593836892805]],\"p1\":[[0.657022706912,0.352952105773],[-1.932412724417,0.190781667954],[-1.086780427417,0.361633061482],[1.737213979143,-0.090988958575],[0.956294278942,-0.348901369715],[0.77558437588,1.605087311289]],\"v0\":[[0.078760549475,0.078840778326],[-0.005940047141,0.06095719307],[0.081647744478,0.030363124548],[0.038161393128,-0.035594470419],[0.023336438469,-0.033124139555],[-0.084116762239,0.075761635372]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[0.649126659237,0.341538529953],[-1.928806853656,0.183967561907],[-1.097340020414,0.357574467106],[1.728683394831,-0.086565395668],[0.954050710726,-0.341052732455],[0.785386380379,1.593836892805]],\"p1\":[[0.657022706912,0.352952105773],[-1.932412724417,0.190781667954],[-1.086780427417,0.361633061482],[1.737213979143,-0.090988958575],[0.956294278942,-0.348901369715],[0.77558437588,1.605087311289]],\"v0\":[[0.078760549475,0.078840778326],[-0.005940047141,0.06095719307],[0.081647744478,0.030363124548],[0.038161393128,-0.035594470419],[0.023336438469,-0.033124139555],[-0.084116762239,0.075761635372]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"1afe173faf51352f2432","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.953369915246,0.194563243744],[-0.100253956785,0.279749731254],[-1.629682972498,-0.60647760766],[-0.965989151151,0.575802114108],[1.487704097043,0.642899774836],[-2.100832886483,0.213239204999]],\"p1\":[[1.954926486161,0.206154562007],[-0.095975038324,0.281730693639],[-1.635881697792,-0.59907107624],[-0.967977285362,0.564290117526],[1.479636245368,0.645780554751],[-2.114111017493,0.204666768723]],\"v0\":[[0.039703775595,0.082531639605],[0.034292953811,0.013808336618],[-0.078832143874,0.05883687075],[-0.04751146323,-0.085162081157],[-0.067574235758,0.041262338899],[-0.077556826647,-0.079817445342]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[1.953369915246,0.194563243744],[-0.100253956785,0.279749731254],[-1.629682972498,-0.60647760766],[-0.965989151151,0.575802114108],[1.487704097043,0.642899774836],[-2.100832886483,0.213239204999]],\"p1\":[[1.954926486161,0.206154562007],[-0.095975038324,0.281730693639],[-1.635881697792,-0.59907107624],[-0.967977285362,0.564290117526],[1.479636245368,0.645780554751],[-2.114111017493,0.204666768723]],\"v0\":[[0.039703775595,0.082531639605],[0.034292953811,0.013808336618],[-0.078832143874,0.05883687075],[-0.04751146323,-0.085162081157],[-0.067574235758,0.041262338899],[-0.077556826647,-0.079817445342]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[1.953369915246,0.194563243744],[-0.100253956785,0.279749731254],[-1.629682972498,-0.60647760766],[-0.965989151151,0.575802114108],[1.487704097043,0.642899774836],[-2.100832886483,0.213239204999]],\"p1\":[[1.954926486161,0.206154562007],[-0.095975038324,0.281730693639],[-1.635881697792,-0.59907107624],[-0.967977285362,0.564290117526],[1.479636245368,0.645780554751],[-2.114111017493,0.204666768723]],\"v0\":[[0.039703775595,0.082531639605],[0.034292953811,0.013808336618],[-0.078832143874,0.05883687075],[-0.04751146323,-0.085162081157],[-0.067574235758,0.041262338899],[-0.077556826647,-0.079817445342]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"19fa4bb1e33b3a106b04","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.87730818022,-1.161903395052],[0.201803395949,0.418905869012],[-1.563317889696,1.667163619304],[-0.419330054317,1.0561619122],[0.995418945115,0.794951036024],[-1.808428511645,-0.569429929025]],\"p1\":[[1.879072783836,-1.165939996772],[0.207191304871,0.4099368056],[-1.559220365667,1.66514827113],[-0.429470853329,1.063497466444],[0.999498202764,0.799698440795],[-1.808727543183,-0.56666107729]],\"v0\":[[0.011432707448,-0.033008665021],[0.014587107205,-0.07153243659],[0.042360156619,-0.025092623063],[-0.087796268051,0.050945523969],[0.058087236097,0.048599026341],[0.002074591227,0.028679153066]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[1.87730818022,-1.161903395052],[0.201803395949,0.418905869012],[-1.563317889696,1.667163619304],[-0.419330054317,1.0561619122],[0.995418945115,0.794951036024],[-1.808428511645,-0.569429929025]],\"p1\":[[1.879072783836,-1.165939996772],[0.207191304871,0.4099368056],[-1.559220365667,1.66514827113],[-0.429470853329,1.063497466444],[0.999498202764,0.799698440795],[-1.808727543183,-0.56666107729]],\"v0\":[[0.011432707448,-0.033008665021],[0.014587107205,-0.07153243659],[0.042360156619,-0.025092623063],[-0.087796268051,0.050945523969],[0.058087236097,0.048599026341],[0.002074591227,0.028679153066]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[1.87730818022,-1.161903395052],[0.201803395949,0.418905869012],[-1.563317889696,1.667163619304],[-0.419330054317,1.0561619122],[0.995418945115,0.794951036024],[-1.808428511645,-0.569429929025]],\"p1\":[[1.879072783836,-1.165939996772],[0.207191304871,0.4099368056],[-1.559220365667,1.66514827113],[-0.429470853329,1.063497466444],[0.999498202764,0.799698440795],[-1.808727543183,-0.56666107729]],\"v0\":[[0.011432707448,-0.033008665021],[0.014587107205,-0.07153243659],[0.042360156619,-0.025092623063],[-0.087796268051,0.050945523969],[0.058087236097,0.048599026341],[0.002074591227,0.028679153066]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"0a9fbfa7a1b5bd5a53c7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.170648311494,-1.405312332854],[-0.011776493948,0.744316172957],[-2.091489136179,1.070782416887],[-1.813568985833,-1.991664553171],[1.514024935947,2.10584370328],[-0.126099136291,-1.061924808443]],\"p1\":[[1.16449829851,-1.394401138798],[-0.00353859484,0.745849759523],[-2.100889951468,1.061490192714],[-1.811465085572,-1.989744848332],[1.515677281729,2.108641758729],[-0.114071931131,-1.065900896585]],\"v0\":[[-0.04607493674,0.080285398723],[0.052029788296,0.018472183069],[-0.062252771121,-0.078516805447],[0.033190117476,0.021593536091],[0.015825824665,0.032418494671],[0.077869661083,-0.041800902162]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[1.170648311494,-1.405312332854],[-0.011776493948,0.744316172957],[-2.091489136179,1.070782416887],[-1.813568985833,-1.991664553171],[1.514024935947,2.10584370328],[-0.126099136291,-1.061924808443]],\"p1\":[[1.16449829851,-1.394401138798],[-0.00353859484,0.745849759523],[-2.100889951468,1.061490192714],[-1.811465085572,-1.989744848332],[1.515677281729,2.108641758729],[-0.114071931131,-1.065900896585]],\"v0\":[[-0.04607493674,0.080285398723],[0.052029788296,0.018472183069],[-0.062252771121,-0.078516805447],[0.033190117476,0.021593536091],[0.015825824665,0.032418494671],[0.077869661083,-0.041800902162]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[1.170648311494,-1.405312332854],[-0.011776493948,0.744316172957],[-2.091489136179,1.070782416887],[-1.813568985833,-1.991664553171],[1.514024935947,2.10584370328],[-0.126099136291,-1.061924808443]],\"p1\":[[1.16449829851,-1.394401138798],[-0.00353859484,0.745849759523],[-2.100889951468,1.061490192714],[-1.811465085572,-1.989744848332],[1.515677281729,2.108641758729],[-0.114071931131,-1.065900896585]],\"v0\":[[-0.04607493674,0.080285398723],[0.052029788296,0.018472183069],[-0.062252771121,-0.078516805447],[0.033190117476,0.021593536091],[0.015825824665,0.032418494671],[0.077869661083,-0.041800902162]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"1165994572f94e21aba0","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.450374051724,-1.481847793823],[-1.654173777598,2.134541810615],[-0.867382930391,-0.785182845478],[-2.085722665886,0.020783520218],[-0.010583552803,1.690514825441],[-1.281732417659,1.463163823916]],\"p1\":[[0.460985646186,-1.475555586584],[-1.653295151637,2.136354686194],[-0.877719692322,-0.777125411622],[-2.083095173941,0.030444839485],[0.001936299009,1.69755596754],[-1.281849182815,1.459212191564]],\"v0\":[[0.080228025618,0.05934405001],[0.022923182914,-0.010717341557],[-0.086290328591,0.07401981322],[0.033502110513,0.084819596392],[0.089426883173,0.053865102895],[-0.004922897845,-0.020386673559]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[0.450374051724,-1.481847793823],[-1.654173777598,2.134541810615],[-0.867382930391,-0.785182845478],[-2.085722665886,0.020783520218],[-0.010583552803,1.690514825441],[-1.281732417659,1.463163823916]],\"p1\":[[0.460985646186,-1.475555586584],[-1.653295151637,2.136354686194],[-0.877719692322,-0.777125411622],[-2.083095173941,0.030444839485],[0.001936299009,1.69755596754],[-1.281849182815,1.459212191564]],\"v0\":[[0.080228025618,0.05934405001],[0.022923182914,-0.010717341557],[-0.086290328591,0.07401981322],[0.033502110513,0.084819596392],[0.089426883173,0.053865102895],[-0.004922897845,-0.020386673559]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[0.450374051724,-1.481847793823],[-1.654173777598,2.134541810615],[-0.867382930391,-0.785182845478],[-2.085722665886,0.020783520218],[-0.010583552803,1.690514825441],[-1.281732417659,1.463163823916]],\"p1\":[[0.460985646186,-1.475555586584],[-1.653295151637,2.136354686194],[-0.877719692322,-0.777125411622],[-2.083095173941,0.030444839485],[0.001936299009,1.69755596754],[-1.281849182815,1.459212191564]],\"v0\":[[0.080228025618,0.05934405001],[0.022923182914,-0.010717341557],[-0.086290328591,0.07401981322],[0.033502110513,0.084819596392],[0.089426883173,0.053865102895],[-0.004922897845,-0.020386673559]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,1,1]}"},{"episode_id":"08c4e47c23add7cc4075","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.464585760894,-0.694279679167],[1.38491253186,-2.095909843041],[-0.026608793869,-1.216352066886],[0.42081510855,-0.14010735965],[1.448073824541,0.645137522555],[-1.819713296209,-1.5404692224]],\"p1\":[[1.467542911941,-0.684353335453],[1.376807860804,-2.101458075836],[-0.027113468641,-1.206532566615],[0.43086383815,-0.142019528154],[1.438586536302,0.635542677289],[-1.80675832031,-1.53011375055]],\"v0\":[[0.048430580877,0.080651367773],[-0.053778534268,-0.072637447806],[-0.020589634637,0.06898318424],[0.070944556052,0.00281371786],[-0.063642830075,-0.05079550135],[0.084171049367,0.079701923179]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,0,1],\"p0\":[[1.464585760894,-0.694279679167],[1.38491253186,-2.095909843041],[-0.026608793869,-1.216352066886],[0.42081510855,-0.14010735965],[1.448073824541,0.645137522555],[-1.819713296209,-1.5404692224]],\"p1\":[[1.467542911941,-0.684353335453],[1.376807860804,-2.101458075836],[-0.027113468641,-1.206532566615],[0.43086383815,-0.142019528154],[1.438586536302,0.635542677289],[-1.80675832031,-1.53011375055]],\"v0\":[[0.048430580877,0.080651367773],[-0.053778534268,-0.072637447806],[-0.020589634637,0.06898318424],[0.070944556052,0.00281371786],[-0.063642830075,-0.05079550135],[0.084171049367,0.079701923179]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[1.464585760894,-0.694279679167],[1.38491253186,-2.095909843041],[-0.026608793869,-1.216352066886],[0.42081510855,-0.14010735965],[1.448073824541,0.645137522555],[-1.819713296209,-1.5404692224]],\"p1\":[[1.467542911941,-0.684353335453],[1.376807860804,-2.101458075836],[-0.027113468641,-1.206532566615],[0.43086383815,-0.142019528154],[1.438586536302,0.635542677289],[-1.80675832031,-1.53011375055]],\"v0\":[[0.048430580877,0.080651367773],[-0.053778534268,-0.072637447806],[-0.020589634637,0.06898318424],[0.070944556052,0.00281371786],[-0.063642830075,-0.05079550135],[0.084171049367,0.079701923179]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"5a1c416189b781d90bbe","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.468284994656,0.680295936041],[0.130932581798,1.505184835174],[-1.366671001284,0.049715434237],[0.76994557184,1.335427349701],[1.869685501248,1.920138550167],[1.297916214072,-1.912999252954]],\"p1\":[[0.462282510392,0.683498334456],[0.130757052816,1.517087242829],[-1.370858399823,0.054545788192],[0.773577875739,1.341083719938],[1.871123830165,1.918300658292],[1.299302599117,-1.924135967404]],\"v0\":[[-0.045908583381,0.064325076792],[0.035068736014,0.073863717736],[-0.025098314486,0.044662837552],[-0.001835834284,0.03386931506],[-0.004288579005,-0.024662098318],[0.009492625796,-0.086917816019]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[0.468284994656,0.680295936041],[0.130932581798,1.505184835174],[-1.366671001284,0.049715434237],[0.76994557184,1.335427349701],[1.869685501248,1.920138550167],[1.297916214072,-1.912999252954]],\"p1\":[[0.462282510392,0.683498334456],[0.130757052816,1.517087242829],[-1.370858399823,0.054545788192],[0.773577875739,1.341083719938],[1.871123830165,1.918300658292],[1.299302599117,-1.924135967404]],\"v0\":[[-0.045908583381,0.064325076792],[0.035068736014,0.073863717736],[-0.025098314486,0.044662837552],[-0.001835834284,0.03386931506],[-0.004288579005,-0.024662098318],[0.009492625796,-0.086917816019]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[0.468284994656,0.680295936041],[0.130932581798,1.505184835174],[-1.366671001284,0.049715434237],[0.76994557184,1.335427349701],[1.869685501248,1.920138550167],[1.297916214072,-1.912999252954]],\"p1\":[[0.462282510392,0.683498334456],[0.130757052816,1.517087242829],[-1.370858399823,0.054545788192],[0.773577875739,1.341083719938],[1.871123830165,1.918300658292],[1.299302599117,-1.924135967404]],\"v0\":[[-0.045908583381,0.064325076792],[0.035068736014,0.073863717736],[-0.025098314486,0.044662837552],[-0.001835834284,0.03386931506],[-0.004288579005,-0.024662098318],[0.009492625796,-0.086917816019]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"4920154dd216bc1c1a68","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.192958501327,0.936188915508],[1.623139850711,1.319514882179],[-0.556793834659,-1.775180410052],[0.422399597657,2.152472207245],[-1.036786586366,1.511606050578],[0.039806156713,-1.192003613267]],\"p1\":[[1.202687527,0.931711067595],[1.625163432337,1.323449196402],[-0.564826742598,-1.782612813658],[0.426379735253,2.160552998713],[-1.027981219574,1.520101339763],[0.027260676174,-1.194721063962]],\"v0\":[[0.04802170972,-0.051301372932],[0.015380915244,0.046420314458],[-0.074235456616,-0.074243955112],[0.055843835123,0.064795049602],[0.074162268807,0.074115923252],[-0.086175578881,-0.010763520428]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[1.192958501327,0.936188915508],[1.623139850711,1.319514882179],[-0.556793834659,-1.775180410052],[0.422399597657,2.152472207245],[-1.036786586366,1.511606050578],[0.039806156713,-1.192003613267]],\"p1\":[[1.202687527,0.931711067595],[1.625163432337,1.323449196402],[-0.564826742598,-1.782612813658],[0.426379735253,2.160552998713],[-1.027981219574,1.520101339763],[0.027260676174,-1.194721063962]],\"v0\":[[0.04802170972,-0.051301372932],[0.015380915244,0.046420314458],[-0.074235456616,-0.074243955112],[0.055843835123,0.064795049602],[0.074162268807,0.074115923252],[-0.086175578881,-0.010763520428]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[1.192958501327,0.936188915508],[1.623139850711,1.319514882179],[-0.556793834659,-1.775180410052],[0.422399597657,2.152472207245],[-1.036786586366,1.511606050578],[0.039806156713,-1.192003613267]],\"p1\":[[1.202687527,0.931711067595],[1.625163432337,1.323449196402],[-0.564826742598,-1.782612813658],[0.426379735253,2.160552998713],[-1.027981219574,1.520101339763],[0.027260676174,-1.194721063962]],\"v0\":[[0.04802170972,-0.051301372932],[0.015380915244,0.046420314458],[-0.074235456616,-0.074243955112],[0.055843835123,0.064795049602],[0.074162268807,0.074115923252],[-0.086175578881,-0.010763520428]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"3e61d167fce205d9ba60","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.434980383495,0.757960014107],[-1.003848563285,1.220522802909],[1.897500327427,-0.578305916156],[1.774487038154,0.138317100516],[-0.937391560748,-0.537096489012],[0.986618239641,1.971710018679]],\"p1\":[[1.430172940325,0.762687992555],[-0.999418126512,1.209764152952],[1.904287795088,-0.572024368799],[1.781553974872,0.138586357488],[-0.945804496753,-0.528022328985],[0.978381365941,1.971744795141]],\"v0\":[[-0.046656735136,0.046022885451],[0.037869129533,-0.083461037124],[0.05834037208,0.032360023717],[0.065949478581,0.008282332037],[-0.069096409739,0.070365639235],[-0.072842599684,0.006672400929]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[1.434980383495,0.757960014107],[-1.003848563285,1.220522802909],[1.897500327427,-0.578305916156],[1.774487038154,0.138317100516],[-0.937391560748,-0.537096489012],[0.986618239641,1.971710018679]],\"p1\":[[1.430172940325,0.762687992555],[-0.999418126512,1.209764152952],[1.904287795088,-0.572024368799],[1.781553974872,0.138586357488],[-0.945804496753,-0.528022328985],[0.978381365941,1.971744795141]],\"v0\":[[-0.046656735136,0.046022885451],[0.037869129533,-0.083461037124],[0.05834037208,0.032360023717],[0.065949478581,0.008282332037],[-0.069096409739,0.070365639235],[-0.072842599684,0.006672400929]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[1.434980383495,0.757960014107],[-1.003848563285,1.220522802909],[1.897500327427,-0.578305916156],[1.774487038154,0.138317100516],[-0.937391560748,-0.537096489012],[0.986618239641,1.971710018679]],\"p1\":[[1.430172940325,0.762687992555],[-0.999418126512,1.209764152952],[1.904287795088,-0.572024368799],[1.781553974872,0.138586357488],[-0.945804496753,-0.528022328985],[0.978381365941,1.971744795141]],\"v0\":[[-0.046656735136,0.046022885451],[0.037869129533,-0.083461037124],[0.05834037208,0.032360023717],[0.065949478581,0.008282332037],[-0.069096409739,0.070365639235],[-0.072842599684,0.006672400929]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"881f4d75a3524b60d652","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.200614283151,1.407539427966],[1.865544913204,-0.453577221394],[2.121595110759,-1.903747523744],[-1.435441044591,-0.612351427871],[2.11128808102,1.711661239275],[-0.747490629117,-0.310434336005]],\"p1\":[[0.206393242417,1.414195439929],[1.861763971474,-0.444466028886],[2.1234198706,-1.903809471558],[-1.441359539328,-0.615204327008],[2.118750490177,1.719176360025],[-0.751809214835,-0.315770466077]],\"v0\":[[0.061173726885,0.05117743294],[-0.038875498773,0.083635517017],[0.014752110698,-0.00985308482],[-0.040190344691,-0.013098487082],[0.055141150309,0.07143702824],[-0.043266927108,-0.058037171323]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,1,0],\"p0\":[[0.200614283151,1.407539427966],[1.865544913204,-0.453577221394],[2.121595110759,-1.903747523744],[-1.435441044591,-0.612351427871],[2.11128808102,1.711661239275],[-0.747490629117,-0.310434336005]],\"p1\":[[0.206393242417,1.414195439929],[1.861763971474,-0.444466028886],[2.1234198706,-1.903809471558],[-1.441359539328,-0.615204327008],[2.118750490177,1.719176360025],[-0.751809214835,-0.315770466077]],\"v0\":[[0.061173726885,0.05117743294],[-0.038875498773,0.083635517017],[0.014752110698,-0.00985308482],[-0.040190344691,-0.013098487082],[0.055141150309,0.07143702824],[-0.043266927108,-0.058037171323]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[0.200614283151,1.407539427966],[1.865544913204,-0.453577221394],[2.121595110759,-1.903747523744],[-1.435441044591,-0.612351427871],[2.11128808102,1.711661239275],[-0.747490629117,-0.310434336005]],\"p1\":[[0.206393242417,1.414195439929],[1.861763971474,-0.444466028886],[2.1234198706,-1.903809471558],[-1.441359539328,-0.615204327008],[2.118750490177,1.719176360025],[-0.751809214835,-0.315770466077]],\"v0\":[[0.061173726885,0.05117743294],[-0.038875498773,0.083635517017],[0.014752110698,-0.00985308482],[-0.040190344691,-0.013098487082],[0.055141150309,0.07143702824],[-0.043266927108,-0.058037171323]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"2cbc26ff364a47bfa9fc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.316939868124,-1.013320899255],[-2.095016700812,1.263107686742],[-0.164136744319,1.376401464083],[1.334421348159,1.104524072561],[-0.227243649099,-0.642741792585],[-0.981632383689,-2.045260553573]],\"p1\":[[0.317168321539,-1.022095285974],[-2.101680536544,1.270883558697],[-0.157958686148,1.371705499709],[1.326122442781,1.098624672574],[-0.225264225768,-0.650290358007],[-0.984899760456,-2.05300911883]],\"v0\":[[-0.026497575874,-0.054303032968],[-0.047827714761,0.061523763139],[0.053782248957,-0.047386776539],[-0.079750512402,-0.053038125335],[0.038396459799,-0.077375085529],[-0.02013776373,-0.053512491125]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[0.316939868124,-1.013320899255],[-2.095016700812,1.263107686742],[-0.164136744319,1.376401464083],[1.334421348159,1.104524072561],[-0.227243649099,-0.642741792585],[-0.981632383689,-2.045260553573]],\"p1\":[[0.317168321539,-1.022095285974],[-2.101680536544,1.270883558697],[-0.157958686148,1.371705499709],[1.326122442781,1.098624672574],[-0.225264225768,-0.650290358007],[-0.984899760456,-2.05300911883]],\"v0\":[[-0.026497575874,-0.054303032968],[-0.047827714761,0.061523763139],[0.053782248957,-0.047386776539],[-0.079750512402,-0.053038125335],[0.038396459799,-0.077375085529],[-0.02013776373,-0.053512491125]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[0.316939868124,-1.013320899255],[-2.095016700812,1.263107686742],[-0.164136744319,1.376401464083],[1.334421348159,1.104524072561],[-0.227243649099,-0.642741792585],[-0.981632383689,-2.045260553573]],\"p1\":[[0.317168321539,-1.022095285974],[-2.101680536544,1.270883558697],[-0.157958686148,1.371705499709],[1.326122442781,1.098624672574],[-0.225264225768,-0.650290358007],[-0.984899760456,-2.05300911883]],\"v0\":[[-0.026497575874,-0.054303032968],[-0.047827714761,0.061523763139],[0.053782248957,-0.047386776539],[-0.079750512402,-0.053038125335],[0.038396459799,-0.077375085529],[-0.02013776373,-0.053512491125]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,1]}"},{"episode_id":"f5598bab495f118c81a2","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.53267268074,0.39862989724],[0.399988087046,-0.2174554391],[-1.701384394121,0.162636011633],[-1.91650169147,0.949508156265],[0.882618316112,-1.307972356278],[1.840379448026,-0.40473485786]],\"p1\":[[-0.528874169759,0.386841093917],[0.393119152399,-0.218582458047],[-1.703107881536,0.162776175404],[-1.916469963751,0.950317771836],[0.888724170852,-1.311361980573],[1.846506311366,-0.402816394098]],\"v0\":[[0.031994277856,-0.085787374544],[-0.049681144664,-0.008002264891],[-0.036211149077,-0.012981779883],[-0.02433785657,0.032534560657],[0.059292524454,-0.056141519394],[0.081197803977,0.018401682546]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-0.53267268074,0.39862989724],[0.399988087046,-0.2174554391],[-1.701384394121,0.162636011633],[-1.91650169147,0.949508156265],[0.882618316112,-1.307972356278],[1.840379448026,-0.40473485786]],\"p1\":[[-0.528874169759,0.386841093917],[0.393119152399,-0.218582458047],[-1.703107881536,0.162776175404],[-1.916469963751,0.950317771836],[0.888724170852,-1.311361980573],[1.846506311366,-0.402816394098]],\"v0\":[[0.031994277856,-0.085787374544],[-0.049681144664,-0.008002264891],[-0.036211149077,-0.012981779883],[-0.02433785657,0.032534560657],[0.059292524454,-0.056141519394],[0.081197803977,0.018401682546]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-0.53267268074,0.39862989724],[0.399988087046,-0.2174554391],[-1.701384394121,0.162636011633],[-1.91650169147,0.949508156265],[0.882618316112,-1.307972356278],[1.840379448026,-0.40473485786]],\"p1\":[[-0.528874169759,0.386841093917],[0.393119152399,-0.218582458047],[-1.703107881536,0.162776175404],[-1.916469963751,0.950317771836],[0.888724170852,-1.311361980573],[1.846506311366,-0.402816394098]],\"v0\":[[0.031994277856,-0.085787374544],[-0.049681144664,-0.008002264891],[-0.036211149077,-0.012981779883],[-0.02433785657,0.032534560657],[0.059292524454,-0.056141519394],[0.081197803977,0.018401682546]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"285b6cd18bfedc84a41d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.987324315882,-1.715304934712],[0.175939378161,-0.230778813898],[-1.313109660843,0.143966989823],[0.777185298445,1.445865413748],[1.532852198769,-1.277819998674],[-1.043803835352,-0.391504622511]],\"p1\":[[-1.991714473585,-1.725493120216],[0.181719172555,-0.237464059249],[-1.312833532564,0.151119492644],[0.787654837318,1.45021365361],[1.528999653927,-1.286287286131],[-1.036696274646,-0.405280299052]],\"v0\":[[-0.028885750447,-0.075252878324],[0.036930752141,-0.055389439661],[0.025249490297,0.025126598643],[0.082196381293,0.026968200116],[-0.04060413573,-0.064775741952],[0.053365926658,-0.086807173585]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[-1.987324315882,-1.715304934712],[0.175939378161,-0.230778813898],[-1.313109660843,0.143966989823],[0.777185298445,1.445865413748],[1.532852198769,-1.277819998674],[-1.043803835352,-0.391504622511]],\"p1\":[[-1.991714473585,-1.725493120216],[0.181719172555,-0.237464059249],[-1.312833532564,0.151119492644],[0.787654837318,1.45021365361],[1.528999653927,-1.286287286131],[-1.036696274646,-0.405280299052]],\"v0\":[[-0.028885750447,-0.075252878324],[0.036930752141,-0.055389439661],[0.025249490297,0.025126598643],[0.082196381293,0.026968200116],[-0.04060413573,-0.064775741952],[0.053365926658,-0.086807173585]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[-1.987324315882,-1.715304934712],[0.175939378161,-0.230778813898],[-1.313109660843,0.143966989823],[0.777185298445,1.445865413748],[1.532852198769,-1.277819998674],[-1.043803835352,-0.391504622511]],\"p1\":[[-1.991714473585,-1.725493120216],[0.181719172555,-0.237464059249],[-1.312833532564,0.151119492644],[0.787654837318,1.45021365361],[1.528999653927,-1.286287286131],[-1.036696274646,-0.405280299052]],\"v0\":[[-0.028885750447,-0.075252878324],[0.036930752141,-0.055389439661],[0.025249490297,0.025126598643],[0.082196381293,0.026968200116],[-0.04060413573,-0.064775741952],[0.053365926658,-0.086807173585]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,1]}"},{"episode_id":"bc6d65fcd9ddc7c3375a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.361605781785,-0.298520899104],[-0.098164981879,2.123493650314],[1.310308983887,1.721511618032],[2.141846725212,-0.045405234666],[0.458926369562,-1.879067291132],[-1.916253860924,1.414090890233]],\"p1\":[[-1.369554035726,-0.294053375255],[-0.088048453648,2.118691109345],[1.300778364278,1.717085305993],[2.144537439286,-0.039357957614],[0.450285165042,-1.883872350208],[-1.923496783745,1.413870515411]],\"v0\":[[-0.076231644822,0.046285682747],[0.085452761304,-0.033960310963],[-0.085510404985,-0.046762961823],[0.027429021195,0.059441805938],[-0.072107173857,-0.045036380418],[-0.050330547051,-0.011130218869]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[-1.361605781785,-0.298520899104],[-0.098164981879,2.123493650314],[1.310308983887,1.721511618032],[2.141846725212,-0.045405234666],[0.458926369562,-1.879067291132],[-1.916253860924,1.414090890233]],\"p1\":[[-1.369554035726,-0.294053375255],[-0.088048453648,2.118691109345],[1.300778364278,1.717085305993],[2.144537439286,-0.039357957614],[0.450285165042,-1.883872350208],[-1.923496783745,1.413870515411]],\"v0\":[[-0.076231644822,0.046285682747],[0.085452761304,-0.033960310963],[-0.085510404985,-0.046762961823],[0.027429021195,0.059441805938],[-0.072107173857,-0.045036380418],[-0.050330547051,-0.011130218869]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,1],\"p0\":[[-1.361605781785,-0.298520899104],[-0.098164981879,2.123493650314],[1.310308983887,1.721511618032],[2.141846725212,-0.045405234666],[0.458926369562,-1.879067291132],[-1.916253860924,1.414090890233]],\"p1\":[[-1.369554035726,-0.294053375255],[-0.088048453648,2.118691109345],[1.300778364278,1.717085305993],[2.144537439286,-0.039357957614],[0.450285165042,-1.883872350208],[-1.923496783745,1.413870515411]],\"v0\":[[-0.076231644822,0.046285682747],[0.085452761304,-0.033960310963],[-0.085510404985,-0.046762961823],[0.027429021195,0.059441805938],[-0.072107173857,-0.045036380418],[-0.050330547051,-0.011130218869]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,1]}"},{"episode_id":"c8bf74a76043b746f1bc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.686760380343,0.277254106772],[0.425546100833,0.682088619239],[1.053075903461,-0.751327612094],[-0.548450388833,1.800628060586],[0.709034717391,-0.122107467263],[1.958062331191,-0.906007830795]],\"p1\":[[-0.697586540594,0.270879878716],[0.419190479214,0.674179381845],[1.058975675658,-0.750566738646],[-0.550965904086,1.7916100578],[0.709307559518,-0.131707635621],[1.966045857775,-0.903108215226]],\"v0\":[[-0.07858394431,-0.043148300078],[-0.064650694069,-0.074325429034],[0.083106725909,-0.026617284884],[-0.017404515863,-0.086092361682],[-0.029222075765,-0.033354635937],[0.060578202297,0.019861781801]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[-0.686760380343,0.277254106772],[0.425546100833,0.682088619239],[1.053075903461,-0.751327612094],[-0.548450388833,1.800628060586],[0.709034717391,-0.122107467263],[1.958062331191,-0.906007830795]],\"p1\":[[-0.697586540594,0.270879878716],[0.419190479214,0.674179381845],[1.058975675658,-0.750566738646],[-0.550965904086,1.7916100578],[0.709307559518,-0.131707635621],[1.966045857775,-0.903108215226]],\"v0\":[[-0.07858394431,-0.043148300078],[-0.064650694069,-0.074325429034],[0.083106725909,-0.026617284884],[-0.017404515863,-0.086092361682],[-0.029222075765,-0.033354635937],[0.060578202297,0.019861781801]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,1],\"p0\":[[-0.686760380343,0.277254106772],[0.425546100833,0.682088619239],[1.053075903461,-0.751327612094],[-0.548450388833,1.800628060586],[0.709034717391,-0.122107467263],[1.958062331191,-0.906007830795]],\"p1\":[[-0.697586540594,0.270879878716],[0.419190479214,0.674179381845],[1.058975675658,-0.750566738646],[-0.550965904086,1.7916100578],[0.709307559518,-0.131707635621],[1.966045857775,-0.903108215226]],\"v0\":[[-0.07858394431,-0.043148300078],[-0.064650694069,-0.074325429034],[0.083106725909,-0.026617284884],[-0.017404515863,-0.086092361682],[-0.029222075765,-0.033354635937],[0.060578202297,0.019861781801]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,0,1]}"},{"episode_id":"fd19d7afcaf63be8d5cc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.154737272196,-0.734800373898],[2.06147889768,0.810285829908],[-1.400796113225,1.726713978898],[-1.656296847761,-0.018936479049],[-1.055028390264,-0.155861325243],[1.361546222565,-0.423568485402]],\"p1\":[[0.150360192516,-0.745841057318],[2.0678306946,0.805488232652],[-1.400249321364,1.728942650022],[-1.664603395283,-0.030644691572],[-1.062570657998,-0.156146581941],[1.368588198878,-0.420953960758]],\"v0\":[[-0.007438129972,-0.088580685982],[0.049326649412,-0.038128779948],[0.000239033994,0.002675911511],[-0.087131161628,-0.082115518317],[-0.042988239769,0.005531038026],[0.035614099283,0.009046750295]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[0.154737272196,-0.734800373898],[2.06147889768,0.810285829908],[-1.400796113225,1.726713978898],[-1.656296847761,-0.018936479049],[-1.055028390264,-0.155861325243],[1.361546222565,-0.423568485402]],\"p1\":[[0.150360192516,-0.745841057318],[2.0678306946,0.805488232652],[-1.400249321364,1.728942650022],[-1.664603395283,-0.030644691572],[-1.062570657998,-0.156146581941],[1.368588198878,-0.420953960758]],\"v0\":[[-0.007438129972,-0.088580685982],[0.049326649412,-0.038128779948],[0.000239033994,0.002675911511],[-0.087131161628,-0.082115518317],[-0.042988239769,0.005531038026],[0.035614099283,0.009046750295]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[0.154737272196,-0.734800373898],[2.06147889768,0.810285829908],[-1.400796113225,1.726713978898],[-1.656296847761,-0.018936479049],[-1.055028390264,-0.155861325243],[1.361546222565,-0.423568485402]],\"p1\":[[0.150360192516,-0.745841057318],[2.0678306946,0.805488232652],[-1.400249321364,1.728942650022],[-1.664603395283,-0.030644691572],[-1.062570657998,-0.156146581941],[1.368588198878,-0.420953960758]],\"v0\":[[-0.007438129972,-0.088580685982],[0.049326649412,-0.038128779948],[0.000239033994,0.002675911511],[-0.087131161628,-0.082115518317],[-0.042988239769,0.005531038026],[0.035614099283,0.009046750295]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"4c476253e356ca116a26","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.316514082528,0.047524403789],[1.42341937756,-1.690337353122],[0.178800571465,-0.35409163357],[-1.501614340218,1.464282115111],[-0.076969235361,0.772457029021],[-0.131524922607,-2.028279399082]],\"p1\":[[-1.323654044301,0.04416549148],[1.421165836482,-1.700530835368],[0.180800980708,-0.365440425338],[-1.510027959552,1.462615066538],[-0.084891979166,0.770530291808],[-0.132408586766,-2.02038751934]],\"v0\":[[-0.046500329022,-0.022187767976],[-0.02967939575,-0.080244072188],[0.009159193762,-0.089238831376],[-0.061706555015,-0.026354197349],[-0.073774147198,-0.030348914675],[-0.002608107661,0.076681347176]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,0],\"p0\":[[-1.316514082528,0.047524403789],[1.42341937756,-1.690337353122],[0.178800571465,-0.35409163357],[-1.501614340218,1.464282115111],[-0.076969235361,0.772457029021],[-0.131524922607,-2.028279399082]],\"p1\":[[-1.323654044301,0.04416549148],[1.421165836482,-1.700530835368],[0.180800980708,-0.365440425338],[-1.510027959552,1.462615066538],[-0.084891979166,0.770530291808],[-0.132408586766,-2.02038751934]],\"v0\":[[-0.046500329022,-0.022187767976],[-0.02967939575,-0.080244072188],[0.009159193762,-0.089238831376],[-0.061706555015,-0.026354197349],[-0.073774147198,-0.030348914675],[-0.002608107661,0.076681347176]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-1.316514082528,0.047524403789],[1.42341937756,-1.690337353122],[0.178800571465,-0.35409163357],[-1.501614340218,1.464282115111],[-0.076969235361,0.772457029021],[-0.131524922607,-2.028279399082]],\"p1\":[[-1.323654044301,0.04416549148],[1.421165836482,-1.700530835368],[0.180800980708,-0.365440425338],[-1.510027959552,1.462615066538],[-0.084891979166,0.770530291808],[-0.132408586766,-2.02038751934]],\"v0\":[[-0.046500329022,-0.022187767976],[-0.02967939575,-0.080244072188],[0.009159193762,-0.089238831376],[-0.061706555015,-0.026354197349],[-0.073774147198,-0.030348914675],[-0.002608107661,0.076681347176]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,0,0]}"},{"episode_id":"cd461d323a9559bb6df6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.823748082857,-0.280826195462],[-1.991114576961,1.483967568112],[0.51942516818,-0.213953199736],[-0.278836665196,0.132870354145],[-1.0288202327,1.557063586029],[1.34882014355,0.178475490074]],\"p1\":[[-0.82996439282,-0.269407729306],[-1.988130420217,1.484781151534],[0.510641593097,-0.206418942728],[-0.283210658389,0.140868045628],[-1.028201537736,1.563566796539],[1.334557337988,0.170901281158]],\"v0\":[[-0.079448275867,0.068326873916],[-0.00591799991,0.01948178973],[-0.053984039594,0.043403771547],[-0.034888149661,0.072542911228],[0.005967376956,0.077954353169],[-0.08201084603,-0.05926803574]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[-0.823748082857,-0.280826195462],[-1.991114576961,1.483967568112],[0.51942516818,-0.213953199736],[-0.278836665196,0.132870354145],[-1.0288202327,1.557063586029],[1.34882014355,0.178475490074]],\"p1\":[[-0.82996439282,-0.269407729306],[-1.988130420217,1.484781151534],[0.510641593097,-0.206418942728],[-0.283210658389,0.140868045628],[-1.028201537736,1.563566796539],[1.334557337988,0.170901281158]],\"v0\":[[-0.079448275867,0.068326873916],[-0.00591799991,0.01948178973],[-0.053984039594,0.043403771547],[-0.034888149661,0.072542911228],[0.005967376956,0.077954353169],[-0.08201084603,-0.05926803574]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[-0.823748082857,-0.280826195462],[-1.991114576961,1.483967568112],[0.51942516818,-0.213953199736],[-0.278836665196,0.132870354145],[-1.0288202327,1.557063586029],[1.34882014355,0.178475490074]],\"p1\":[[-0.82996439282,-0.269407729306],[-1.988130420217,1.484781151534],[0.510641593097,-0.206418942728],[-0.283210658389,0.140868045628],[-1.028201537736,1.563566796539],[1.334557337988,0.170901281158]],\"v0\":[[-0.079448275867,0.068326873916],[-0.00591799991,0.01948178973],[-0.053984039594,0.043403771547],[-0.034888149661,0.072542911228],[0.005967376956,0.077954353169],[-0.08201084603,-0.05926803574]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,1,0]}"},{"episode_id":"6b020b0f532615e7ed7c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.724389858844,1.316381846849],[1.817119277598,-0.161800316093],[0.084318683103,-0.944027010777],[-1.606350984186,1.780520035773],[0.508921557898,1.938714115229],[-0.896225322685,-0.72265372831]],\"p1\":[[-0.7282524381,1.316497578851],[1.809575084296,-0.165065205655],[0.095175300091,-0.948860320448],[-1.605992951468,1.790157424249],[0.517117741409,1.940943988374],[-0.901195482398,-0.73135793817]],\"v0\":[[-0.035777236603,0.004108291123],[-0.071739205359,-0.025937171378],[0.079686753484,-0.030563216029],[0.02031792689,0.070490619299],[0.058894247433,0.010031980165],[-0.026099977961,-0.068292298758]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,0],\"p0\":[[-0.724389858844,1.316381846849],[1.817119277598,-0.161800316093],[0.084318683103,-0.944027010777],[-1.606350984186,1.780520035773],[0.508921557898,1.938714115229],[-0.896225322685,-0.72265372831]],\"p1\":[[-0.7282524381,1.316497578851],[1.809575084296,-0.165065205655],[0.095175300091,-0.948860320448],[-1.605992951468,1.790157424249],[0.517117741409,1.940943988374],[-0.901195482398,-0.73135793817]],\"v0\":[[-0.035777236603,0.004108291123],[-0.071739205359,-0.025937171378],[0.079686753484,-0.030563216029],[0.02031792689,0.070490619299],[0.058894247433,0.010031980165],[-0.026099977961,-0.068292298758]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[-0.724389858844,1.316381846849],[1.817119277598,-0.161800316093],[0.084318683103,-0.944027010777],[-1.606350984186,1.780520035773],[0.508921557898,1.938714115229],[-0.896225322685,-0.72265372831]],\"p1\":[[-0.7282524381,1.316497578851],[1.809575084296,-0.165065205655],[0.095175300091,-0.948860320448],[-1.605992951468,1.790157424249],[0.517117741409,1.940943988374],[-0.901195482398,-0.73135793817]],\"v0\":[[-0.035777236603,0.004108291123],[-0.071739205359,-0.025937171378],[0.079686753484,-0.030563216029],[0.02031792689,0.070490619299],[0.058894247433,0.010031980165],[-0.026099977961,-0.068292298758]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"98bef43cb016f35456b3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.437579781392,-2.157799537817],[-1.607725824649,1.372461419927],[1.870691448194,-2.065275760163],[0.034318139464,1.517569785319],[1.451747628618,1.161694492213],[0.681078006698,0.358389232941]],\"p1\":[[-1.434201146825,-2.15451536742],[-1.610734894224,1.372157053841],[1.862966137453,-2.067626536076],[0.027088970346,1.520633814606],[1.458217862939,1.154798428483],[0.66999645914,0.35562697664]],\"v0\":[[0.022004198502,0.018944437732],[-0.036507129396,0.004820157309],[-0.054550528171,-0.025097852189],[-0.047741330389,0.039741226547],[0.029627636913,-0.070624409737],[-0.07280141498,-0.017494079218]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-1.437579781392,-2.157799537817],[-1.607725824649,1.372461419927],[1.870691448194,-2.065275760163],[0.034318139464,1.517569785319],[1.451747628618,1.161694492213],[0.681078006698,0.358389232941]],\"p1\":[[-1.434201146825,-2.15451536742],[-1.610734894224,1.372157053841],[1.862966137453,-2.067626536076],[0.027088970346,1.520633814606],[1.458217862939,1.154798428483],[0.66999645914,0.35562697664]],\"v0\":[[0.022004198502,0.018944437732],[-0.036507129396,0.004820157309],[-0.054550528171,-0.025097852189],[-0.047741330389,0.039741226547],[0.029627636913,-0.070624409737],[-0.07280141498,-0.017494079218]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[-1.437579781392,-2.157799537817],[-1.607725824649,1.372461419927],[1.870691448194,-2.065275760163],[0.034318139464,1.517569785319],[1.451747628618,1.161694492213],[0.681078006698,0.358389232941]],\"p1\":[[-1.434201146825,-2.15451536742],[-1.610734894224,1.372157053841],[1.862966137453,-2.067626536076],[0.027088970346,1.520633814606],[1.458217862939,1.154798428483],[0.66999645914,0.35562697664]],\"v0\":[[0.022004198502,0.018944437732],[-0.036507129396,0.004820157309],[-0.054550528171,-0.025097852189],[-0.047741330389,0.039741226547],[0.029627636913,-0.070624409737],[-0.07280141498,-0.017494079218]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"89843e22aa6d068838dc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.621075093076,1.055112956639],[-0.826686118418,-0.417321872338],[2.104577033264,-1.460319104162],[-0.05365379544,0.381363105907],[-1.460912595657,1.756022935773],[-1.64843562356,0.9711263909]],\"p1\":[[0.612825112227,1.043463389516],[-0.826126619523,-0.427043742789],[2.105727447752,-1.465207569629],[-0.042985870603,0.385735519342],[-1.453041941952,1.756919741169],[-1.648450281578,0.968330551919]],\"v0\":[[-0.061362774327,-0.086359712886],[-9.3442121e-05,-0.088062345195],[0.010343244933,-0.041549057541],[0.085362273075,0.031734193601],[0.070794730826,0.026429350191],[-0.005178590244,-0.040413454754]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[0.621075093076,1.055112956639],[-0.826686118418,-0.417321872338],[2.104577033264,-1.460319104162],[-0.05365379544,0.381363105907],[-1.460912595657,1.756022935773],[-1.64843562356,0.9711263909]],\"p1\":[[0.612825112227,1.043463389516],[-0.826126619523,-0.427043742789],[2.105727447752,-1.465207569629],[-0.042985870603,0.385735519342],[-1.453041941952,1.756919741169],[-1.648450281578,0.968330551919]],\"v0\":[[-0.061362774327,-0.086359712886],[-9.3442121e-05,-0.088062345195],[0.010343244933,-0.041549057541],[0.085362273075,0.031734193601],[0.070794730826,0.026429350191],[-0.005178590244,-0.040413454754]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[0.621075093076,1.055112956639],[-0.826686118418,-0.417321872338],[2.104577033264,-1.460319104162],[-0.05365379544,0.381363105907],[-1.460912595657,1.756022935773],[-1.64843562356,0.9711263909]],\"p1\":[[0.612825112227,1.043463389516],[-0.826126619523,-0.427043742789],[2.105727447752,-1.465207569629],[-0.042985870603,0.385735519342],[-1.453041941952,1.756919741169],[-1.648450281578,0.968330551919]],\"v0\":[[-0.061362774327,-0.086359712886],[-9.3442121e-05,-0.088062345195],[0.010343244933,-0.041549057541],[0.085362273075,0.031734193601],[0.070794730826,0.026429350191],[-0.005178590244,-0.040413454754]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,1]}"},{"episode_id":"c407aaa83102be2beb15","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.992912878168,-0.857362333908],[0.570223320771,0.079202241583],[0.094060461957,1.653738095122],[-0.157411296129,-1.838034781575],[1.590791237011,1.333892754439],[0.57316970282,1.971300103208]],\"p1\":[[1.989689378295,-0.849122674268],[0.5682963936,0.069177400038],[0.090517830589,1.646901685699],[-0.146711331473,-1.835158265283],[1.59820964508,1.341584813842],[0.579609903883,1.964443373747]],\"v0\":[[-0.027905844426,0.069031644861],[-0.003513090004,-0.088575947925],[-0.001897675501,-0.046064617129],[0.08380985615,0.024951180911],[0.057938040356,0.062827812095],[0.023781341568,-0.063084615256]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,0,0],\"p0\":[[1.992912878168,-0.857362333908],[0.570223320771,0.079202241583],[0.094060461957,1.653738095122],[-0.157411296129,-1.838034781575],[1.590791237011,1.333892754439],[0.57316970282,1.971300103208]],\"p1\":[[1.989689378295,-0.849122674268],[0.5682963936,0.069177400038],[0.090517830589,1.646901685699],[-0.146711331473,-1.835158265283],[1.59820964508,1.341584813842],[0.579609903883,1.964443373747]],\"v0\":[[-0.027905844426,0.069031644861],[-0.003513090004,-0.088575947925],[-0.001897675501,-0.046064617129],[0.08380985615,0.024951180911],[0.057938040356,0.062827812095],[0.023781341568,-0.063084615256]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[1.992912878168,-0.857362333908],[0.570223320771,0.079202241583],[0.094060461957,1.653738095122],[-0.157411296129,-1.838034781575],[1.590791237011,1.333892754439],[0.57316970282,1.971300103208]],\"p1\":[[1.989689378295,-0.849122674268],[0.5682963936,0.069177400038],[0.090517830589,1.646901685699],[-0.146711331473,-1.835158265283],[1.59820964508,1.341584813842],[0.579609903883,1.964443373747]],\"v0\":[[-0.027905844426,0.069031644861],[-0.003513090004,-0.088575947925],[-0.001897675501,-0.046064617129],[0.08380985615,0.024951180911],[0.057938040356,0.062827812095],[0.023781341568,-0.063084615256]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,0]}"},{"episode_id":"7a01ac3d76c7c7ba6a86","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.483871629536,-1.333482816684],[-1.80897320928,-0.726805090216],[-1.564589777197,-1.718310136805],[1.911328728251,0.211126524139],[-0.221578887105,0.213775175211],[1.272687120186,-0.243841362887]],\"p1\":[[-0.473151333088,-1.339475901775],[-1.818927146187,-0.718310795781],[-1.558318287912,-1.719271151012],[1.905825100117,0.219907613007],[-0.229280307077,0.205444203551],[1.272400848912,-0.254391870248]],\"v0\":[[0.07878130717,-0.042355711789],[-0.067870542464,0.058033562624],[0.062481145984,0.011296143746],[-0.069445694078,0.059118011087],[-0.06156321224,-0.080977909124],[0.003838074347,-0.076449055016]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,0],\"p0\":[[-0.483871629536,-1.333482816684],[-1.80897320928,-0.726805090216],[-1.564589777197,-1.718310136805],[1.911328728251,0.211126524139],[-0.221578887105,0.213775175211],[1.272687120186,-0.243841362887]],\"p1\":[[-0.473151333088,-1.339475901775],[-1.818927146187,-0.718310795781],[-1.558318287912,-1.719271151012],[1.905825100117,0.219907613007],[-0.229280307077,0.205444203551],[1.272400848912,-0.254391870248]],\"v0\":[[0.07878130717,-0.042355711789],[-0.067870542464,0.058033562624],[0.062481145984,0.011296143746],[-0.069445694078,0.059118011087],[-0.06156321224,-0.080977909124],[0.003838074347,-0.076449055016]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[-0.483871629536,-1.333482816684],[-1.80897320928,-0.726805090216],[-1.564589777197,-1.718310136805],[1.911328728251,0.211126524139],[-0.221578887105,0.213775175211],[1.272687120186,-0.243841362887]],\"p1\":[[-0.473151333088,-1.339475901775],[-1.818927146187,-0.718310795781],[-1.558318287912,-1.719271151012],[1.905825100117,0.219907613007],[-0.229280307077,0.205444203551],[1.272400848912,-0.254391870248]],\"v0\":[[0.07878130717,-0.042355711789],[-0.067870542464,0.058033562624],[0.062481145984,0.011296143746],[-0.069445694078,0.059118011087],[-0.06156321224,-0.080977909124],[0.003838074347,-0.076449055016]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"5768c68c731c7cdd5476","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.761879487603,1.445687495433],[-1.713765114013,-0.762959892051],[-0.141029948472,-0.405144505359],[2.058189162448,0.244192502238],[-1.732403626028,1.937372916488],[2.049275682874,-1.911723841786]],\"p1\":[[0.77080568095,1.45299729754],[-1.712261490748,-0.765332038467],[-0.1506536874,-0.403074599117],[2.053290804803,0.254440204683],[-1.739938887324,1.943790737494],[2.047852460815,-1.912623800349]],\"v0\":[[0.07883759274,0.078127786826],[-0.006280907513,-0.029790958954],[-0.082223443857,0.010095112244],[-0.022206652045,0.087839375052],[-0.076217158412,0.067361557286],[-0.000665791881,-0.023856815611]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[0.761879487603,1.445687495433],[-1.713765114013,-0.762959892051],[-0.141029948472,-0.405144505359],[2.058189162448,0.244192502238],[-1.732403626028,1.937372916488],[2.049275682874,-1.911723841786]],\"p1\":[[0.77080568095,1.45299729754],[-1.712261490748,-0.765332038467],[-0.1506536874,-0.403074599117],[2.053290804803,0.254440204683],[-1.739938887324,1.943790737494],[2.047852460815,-1.912623800349]],\"v0\":[[0.07883759274,0.078127786826],[-0.006280907513,-0.029790958954],[-0.082223443857,0.010095112244],[-0.022206652045,0.087839375052],[-0.076217158412,0.067361557286],[-0.000665791881,-0.023856815611]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[0.761879487603,1.445687495433],[-1.713765114013,-0.762959892051],[-0.141029948472,-0.405144505359],[2.058189162448,0.244192502238],[-1.732403626028,1.937372916488],[2.049275682874,-1.911723841786]],\"p1\":[[0.77080568095,1.45299729754],[-1.712261490748,-0.765332038467],[-0.1506536874,-0.403074599117],[2.053290804803,0.254440204683],[-1.739938887324,1.943790737494],[2.047852460815,-1.912623800349]],\"v0\":[[0.07883759274,0.078127786826],[-0.006280907513,-0.029790958954],[-0.082223443857,0.010095112244],[-0.022206652045,0.087839375052],[-0.076217158412,0.067361557286],[-0.000665791881,-0.023856815611]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"569491b03062c176d04a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.140978453838,0.906332814529],[-1.745708617331,0.844315849767],[-0.583160062666,-0.355540751238],[-1.142011617111,-1.272790856659],[-2.057553999109,1.771240413953],[0.272493366303,-1.564646489205]],\"p1\":[[-1.136754195008,0.902394514931],[-1.748264091182,0.851628635377],[-0.571862398481,-0.344904243014],[-1.142009694457,-1.27962480792],[-2.058038739769,1.777554634174],[0.273203955615,-1.570540047131]],\"v0\":[[-0.000453876733,-0.041335008867],[0.012618489631,0.070087427286],[0.083973565125,0.08546044677],[0.01150517627,-0.041091060625],[0.008927098579,0.029385611976],[-0.006618615623,-0.039193205945]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-1.140978453838,0.906332814529],[-1.745708617331,0.844315849767],[-0.583160062666,-0.355540751238],[-1.142011617111,-1.272790856659],[-2.057553999109,1.771240413953],[0.272493366303,-1.564646489205]],\"p1\":[[-1.136754195008,0.902394514931],[-1.748264091182,0.851628635377],[-0.571862398481,-0.344904243014],[-1.142009694457,-1.27962480792],[-2.058038739769,1.777554634174],[0.273203955615,-1.570540047131]],\"v0\":[[-0.000453876733,-0.041335008867],[0.012618489631,0.070087427286],[0.083973565125,0.08546044677],[0.01150517627,-0.041091060625],[0.008927098579,0.029385611976],[-0.006618615623,-0.039193205945]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-1.140978453838,0.906332814529],[-1.745708617331,0.844315849767],[-0.583160062666,-0.355540751238],[-1.142011617111,-1.272790856659],[-2.057553999109,1.771240413953],[0.272493366303,-1.564646489205]],\"p1\":[[-1.136754195008,0.902394514931],[-1.748264091182,0.851628635377],[-0.571862398481,-0.344904243014],[-1.142009694457,-1.27962480792],[-2.058038739769,1.777554634174],[0.273203955615,-1.570540047131]],\"v0\":[[-0.000453876733,-0.041335008867],[0.012618489631,0.070087427286],[0.083973565125,0.08546044677],[0.01150517627,-0.041091060625],[0.008927098579,0.029385611976],[-0.006618615623,-0.039193205945]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"fe87f0439a5800a7c33d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.568537181279,1.373888085223],[-1.582011370651,0.976739890992],[-2.077666038962,-0.071724392843],[-1.104354391751,-1.176713396055],[1.050490994528,-1.380576395485],[0.52164366486,-1.59030764435]],\"p1\":[[-0.558750869906,1.377615986676],[-1.591513602342,0.971081493744],[-2.078058767828,-0.067827564735],[-1.106594473517,-1.17106299337],[1.05560906024,-1.381897168486],[0.530231031498,-1.586589194239]],\"v0\":[[0.069727703215,0.018937216604],[-0.066521512178,-0.031852287936],[-0.005160170885,0.023087381284],[-0.012808793691,0.052537399695],[0.061715649626,-0.002565986489],[0.047686302257,0.02330971107]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,1],\"p0\":[[-0.568537181279,1.373888085223],[-1.582011370651,0.976739890992],[-2.077666038962,-0.071724392843],[-1.104354391751,-1.176713396055],[1.050490994528,-1.380576395485],[0.52164366486,-1.59030764435]],\"p1\":[[-0.558750869906,1.377615986676],[-1.591513602342,0.971081493744],[-2.078058767828,-0.067827564735],[-1.106594473517,-1.17106299337],[1.05560906024,-1.381897168486],[0.530231031498,-1.586589194239]],\"v0\":[[0.069727703215,0.018937216604],[-0.066521512178,-0.031852287936],[-0.005160170885,0.023087381284],[-0.012808793691,0.052537399695],[0.061715649626,-0.002565986489],[0.047686302257,0.02330971107]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-0.568537181279,1.373888085223],[-1.582011370651,0.976739890992],[-2.077666038962,-0.071724392843],[-1.104354391751,-1.176713396055],[1.050490994528,-1.380576395485],[0.52164366486,-1.59030764435]],\"p1\":[[-0.558750869906,1.377615986676],[-1.591513602342,0.971081493744],[-2.078058767828,-0.067827564735],[-1.106594473517,-1.17106299337],[1.05560906024,-1.381897168486],[0.530231031498,-1.586589194239]],\"v0\":[[0.069727703215,0.018937216604],[-0.066521512178,-0.031852287936],[-0.005160170885,0.023087381284],[-0.012808793691,0.052537399695],[0.061715649626,-0.002565986489],[0.047686302257,0.02330971107]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"c711446775aeb8265258","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.599241378212,0.616811926767],[0.520695816168,1.795303060594],[0.208021589825,1.147613203088],[-1.112416567757,1.331827421374],[1.192611193532,-0.68579266147],[-1.954548961415,2.038157019536]],\"p1\":[[1.592998866011,0.611099859107],[0.514707288328,1.790782216322],[0.218462140986,1.144032140648],[-1.107918566837,1.328182700538],[1.196262575503,-0.689905368948],[-1.949848717339,2.029665132195]],\"v0\":[[-0.055609390475,-0.056661801791],[-0.045860929296,-0.010549806894],[0.089077084236,-0.057638119549],[0.040262321356,-0.033776727542],[0.032188855682,-0.026760019401],[0.032101542573,-0.065140941702]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,1],\"p0\":[[1.599241378212,0.616811926767],[0.520695816168,1.795303060594],[0.208021589825,1.147613203088],[-1.112416567757,1.331827421374],[1.192611193532,-0.68579266147],[-1.954548961415,2.038157019536]],\"p1\":[[1.592998866011,0.611099859107],[0.514707288328,1.790782216322],[0.218462140986,1.144032140648],[-1.107918566837,1.328182700538],[1.196262575503,-0.689905368948],[-1.949848717339,2.029665132195]],\"v0\":[[-0.055609390475,-0.056661801791],[-0.045860929296,-0.010549806894],[0.089077084236,-0.057638119549],[0.040262321356,-0.033776727542],[0.032188855682,-0.026760019401],[0.032101542573,-0.065140941702]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[1.599241378212,0.616811926767],[0.520695816168,1.795303060594],[0.208021589825,1.147613203088],[-1.112416567757,1.331827421374],[1.192611193532,-0.68579266147],[-1.954548961415,2.038157019536]],\"p1\":[[1.592998866011,0.611099859107],[0.514707288328,1.790782216322],[0.218462140986,1.144032140648],[-1.107918566837,1.328182700538],[1.196262575503,-0.689905368948],[-1.949848717339,2.029665132195]],\"v0\":[[-0.055609390475,-0.056661801791],[-0.045860929296,-0.010549806894],[0.089077084236,-0.057638119549],[0.040262321356,-0.033776727542],[0.032188855682,-0.026760019401],[0.032101542573,-0.065140941702]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"8605877d657e0aad91d7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.103808440879,-1.592063208169],[1.794855118989,-1.168451349269],[-1.73214202658,-0.935701201203],[0.373787208032,-0.069358480364],[-0.732818544635,1.718477797295],[1.109964084247,1.70935951906]],\"p1\":[[0.111730811386,-1.597634295318],[1.787584559637,-1.170936800335],[-1.733037746879,-0.930645651813],[0.378323213737,-0.07872105025],[-0.729649990151,1.727933142332],[1.115105448704,1.713723886102]],\"v0\":[[0.080168387014,-0.03777748824],[-0.064945392708,-0.025390620283],[-0.005401592008,0.048908029704],[0.030507732728,-0.083507285256],[0.027351958946,0.078537320223],[0.037335701878,0.031364655263]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,0],\"p0\":[[0.103808440879,-1.592063208169],[1.794855118989,-1.168451349269],[-1.73214202658,-0.935701201203],[0.373787208032,-0.069358480364],[-0.732818544635,1.718477797295],[1.109964084247,1.70935951906]],\"p1\":[[0.111730811386,-1.597634295318],[1.787584559637,-1.170936800335],[-1.733037746879,-0.930645651813],[0.378323213737,-0.07872105025],[-0.729649990151,1.727933142332],[1.115105448704,1.713723886102]],\"v0\":[[0.080168387014,-0.03777748824],[-0.064945392708,-0.025390620283],[-0.005401592008,0.048908029704],[0.030507732728,-0.083507285256],[0.027351958946,0.078537320223],[0.037335701878,0.031364655263]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[0.103808440879,-1.592063208169],[1.794855118989,-1.168451349269],[-1.73214202658,-0.935701201203],[0.373787208032,-0.069358480364],[-0.732818544635,1.718477797295],[1.109964084247,1.70935951906]],\"p1\":[[0.111730811386,-1.597634295318],[1.787584559637,-1.170936800335],[-1.733037746879,-0.930645651813],[0.378323213737,-0.07872105025],[-0.729649990151,1.727933142332],[1.115105448704,1.713723886102]],\"v0\":[[0.080168387014,-0.03777748824],[-0.064945392708,-0.025390620283],[-0.005401592008,0.048908029704],[0.030507732728,-0.083507285256],[0.027351958946,0.078537320223],[0.037335701878,0.031364655263]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"8c93f8424b194c3f72be","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[2.072186961537,-1.234087331806],[1.039631635907,0.693596186742],[-0.195674247643,0.648497917434],[-0.305932148927,-1.499814969624],[-1.00465828761,-0.50132010541],[2.05786608132,-1.900675031961]],\"p1\":[[2.063717630457,-1.224399953282],[1.050608540666,0.699724866859],[-0.204958512605,0.646371617332],[-0.305529419379,-1.492667209807],[-1.01135134518,-0.49428832367],[2.068466758151,-1.897790885624]],\"v0\":[[-0.077548594083,0.056068362991],[0.081234455239,0.043277551527],[-0.07052028169,-0.028227198043],[0.004212027977,0.07195700742],[-0.041620083217,0.057197671911],[0.083689621832,0.056005324458]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[2.072186961537,-1.234087331806],[1.039631635907,0.693596186742],[-0.195674247643,0.648497917434],[-0.305932148927,-1.499814969624],[-1.00465828761,-0.50132010541],[2.05786608132,-1.900675031961]],\"p1\":[[2.063717630457,-1.224399953282],[1.050608540666,0.699724866859],[-0.204958512605,0.646371617332],[-0.305529419379,-1.492667209807],[-1.01135134518,-0.49428832367],[2.068466758151,-1.897790885624]],\"v0\":[[-0.077548594083,0.056068362991],[0.081234455239,0.043277551527],[-0.07052028169,-0.028227198043],[0.004212027977,0.07195700742],[-0.041620083217,0.057197671911],[0.083689621832,0.056005324458]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[2.072186961537,-1.234087331806],[1.039631635907,0.693596186742],[-0.195674247643,0.648497917434],[-0.305932148927,-1.499814969624],[-1.00465828761,-0.50132010541],[2.05786608132,-1.900675031961]],\"p1\":[[2.063717630457,-1.224399953282],[1.050608540666,0.699724866859],[-0.204958512605,0.646371617332],[-0.305529419379,-1.492667209807],[-1.01135134518,-0.49428832367],[2.068466758151,-1.897790885624]],\"v0\":[[-0.077548594083,0.056068362991],[0.081234455239,0.043277551527],[-0.07052028169,-0.028227198043],[0.004212027977,0.07195700742],[-0.041620083217,0.057197671911],[0.083689621832,0.056005324458]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"d84ebcc4fd136a0ac554","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.30183951871,-1.832790817585],[1.273039589559,0.655454769732],[-1.189025979975,-1.279212933003],[0.074513809669,1.860731826365],[1.693090675274,-0.348499236485],[1.301223094047,-1.121248711354]],\"p1\":[[0.303042185294,-1.835574398534],[1.263420718502,0.64396153408],[-1.178540468603,-1.269080560954],[0.066697624902,1.852657213481],[1.695739707699,-0.345941107663],[1.298262440324,-1.117913503621]],\"v0\":[[0.002574127921,-0.046946732578],[-0.073834757236,-0.074049749624],[0.063597689282,0.078971071959],[-0.074473598328,-0.045218402613],[0.046608953013,0.025915563894],[-0.014959907718,0.008613908287]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[0.30183951871,-1.832790817585],[1.273039589559,0.655454769732],[-1.189025979975,-1.279212933003],[0.074513809669,1.860731826365],[1.693090675274,-0.348499236485],[1.301223094047,-1.121248711354]],\"p1\":[[0.303042185294,-1.835574398534],[1.263420718502,0.64396153408],[-1.178540468603,-1.269080560954],[0.066697624902,1.852657213481],[1.695739707699,-0.345941107663],[1.298262440324,-1.117913503621]],\"v0\":[[0.002574127921,-0.046946732578],[-0.073834757236,-0.074049749624],[0.063597689282,0.078971071959],[-0.074473598328,-0.045218402613],[0.046608953013,0.025915563894],[-0.014959907718,0.008613908287]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[0.30183951871,-1.832790817585],[1.273039589559,0.655454769732],[-1.189025979975,-1.279212933003],[0.074513809669,1.860731826365],[1.693090675274,-0.348499236485],[1.301223094047,-1.121248711354]],\"p1\":[[0.303042185294,-1.835574398534],[1.263420718502,0.64396153408],[-1.178540468603,-1.269080560954],[0.066697624902,1.852657213481],[1.695739707699,-0.345941107663],[1.298262440324,-1.117913503621]],\"v0\":[[0.002574127921,-0.046946732578],[-0.073834757236,-0.074049749624],[0.063597689282,0.078971071959],[-0.074473598328,-0.045218402613],[0.046608953013,0.025915563894],[-0.014959907718,0.008613908287]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"68297f0967ba3c80eb12","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.866711135583,-1.899737159655],[-0.175534028479,1.820579239352],[-0.317570804093,-1.229989618878],[0.692093676179,-2.014724582268],[-0.179555138378,0.180941237579],[2.124613078605,0.559231862259]],\"p1\":[[-1.859560513086,-1.908713818249],[-0.169839988858,1.811392621468],[-0.328431941842,-1.227370624152],[0.700724775864,-2.021745599137],[-0.187257556082,0.184803895998],[2.114737741918,0.560885414768]],\"v0\":[[0.068477989859,-0.07024751569],[0.04902876967,-0.086035095282],[-0.086387216826,0.024049965663],[0.062742799035,-0.048528400776],[-0.062574419628,0.027036002474],[-0.089314008241,0.011649312847]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[-1.866711135583,-1.899737159655],[-0.175534028479,1.820579239352],[-0.317570804093,-1.229989618878],[0.692093676179,-2.014724582268],[-0.179555138378,0.180941237579],[2.124613078605,0.559231862259]],\"p1\":[[-1.859560513086,-1.908713818249],[-0.169839988858,1.811392621468],[-0.328431941842,-1.227370624152],[0.700724775864,-2.021745599137],[-0.187257556082,0.184803895998],[2.114737741918,0.560885414768]],\"v0\":[[0.068477989859,-0.07024751569],[0.04902876967,-0.086035095282],[-0.086387216826,0.024049965663],[0.062742799035,-0.048528400776],[-0.062574419628,0.027036002474],[-0.089314008241,0.011649312847]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-1.866711135583,-1.899737159655],[-0.175534028479,1.820579239352],[-0.317570804093,-1.229989618878],[0.692093676179,-2.014724582268],[-0.179555138378,0.180941237579],[2.124613078605,0.559231862259]],\"p1\":[[-1.859560513086,-1.908713818249],[-0.169839988858,1.811392621468],[-0.328431941842,-1.227370624152],[0.700724775864,-2.021745599137],[-0.187257556082,0.184803895998],[2.114737741918,0.560885414768]],\"v0\":[[0.068477989859,-0.07024751569],[0.04902876967,-0.086035095282],[-0.086387216826,0.024049965663],[0.062742799035,-0.048528400776],[-0.062574419628,0.027036002474],[-0.089314008241,0.011649312847]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"449f10905452c29c8b29","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.585785976307,-0.231020574572],[1.662225732268,-1.977827107801],[-2.120591164937,1.23075199101],[0.568260745813,1.599444280915],[2.004743654023,-1.225716187953],[-1.690487709902,-1.485703431851]],\"p1\":[[0.57874727418,-0.235564167104],[1.65721814306,-1.982398696237],[-2.12434118562,1.226386223852],[0.557929829983,1.59799297137],[2.014917066203,-1.222552535207],[-1.690043619679,-1.486172426744]],\"v0\":[[-0.046580657846,-0.043960974201],[-0.023719318988,-0.03525435328],[-0.041036843527,-0.029394059592],[-0.077787838858,-0.000933650426],[0.062730644172,0.02142011089],[-0.002853696997,-0.013857071865]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[0.585785976307,-0.231020574572],[1.662225732268,-1.977827107801],[-2.120591164937,1.23075199101],[0.568260745813,1.599444280915],[2.004743654023,-1.225716187953],[-1.690487709902,-1.485703431851]],\"p1\":[[0.57874727418,-0.235564167104],[1.65721814306,-1.982398696237],[-2.12434118562,1.226386223852],[0.557929829983,1.59799297137],[2.014917066203,-1.222552535207],[-1.690043619679,-1.486172426744]],\"v0\":[[-0.046580657846,-0.043960974201],[-0.023719318988,-0.03525435328],[-0.041036843527,-0.029394059592],[-0.077787838858,-0.000933650426],[0.062730644172,0.02142011089],[-0.002853696997,-0.013857071865]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[0.585785976307,-0.231020574572],[1.662225732268,-1.977827107801],[-2.120591164937,1.23075199101],[0.568260745813,1.599444280915],[2.004743654023,-1.225716187953],[-1.690487709902,-1.485703431851]],\"p1\":[[0.57874727418,-0.235564167104],[1.65721814306,-1.982398696237],[-2.12434118562,1.226386223852],[0.557929829983,1.59799297137],[2.014917066203,-1.222552535207],[-1.690043619679,-1.486172426744]],\"v0\":[[-0.046580657846,-0.043960974201],[-0.023719318988,-0.03525435328],[-0.041036843527,-0.029394059592],[-0.077787838858,-0.000933650426],[0.062730644172,0.02142011089],[-0.002853696997,-0.013857071865]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,1,0]}"},{"episode_id":"a6de63f9c7b7aada84ea","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.64872136126,-1.492831005364],[-1.265909531929,1.778266887152],[1.682920956659,-0.012812339072],[-1.398084780916,0.897113557698],[-0.54331427015,1.078846121244],[-1.834261908262,-1.41403617515]],\"p1\":[[1.640530447384,-1.498228657742],[-1.256802186781,1.768282630268],[1.685067869382,-0.021722915071],[-1.398535964735,0.885207927149],[-0.556642666662,1.077835142841],[-1.840049339439,-1.421895531488]],\"v0\":[[-0.068842219408,-0.038750423441],[0.062350922553,-0.087871815728],[0.017087026318,-0.08102387969],[-0.019971119731,-0.082759739062],[-0.082149364638,-0.01775137156],[-0.046005807698,-0.067413191782]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,0,0],\"p0\":[[1.64872136126,-1.492831005364],[-1.265909531929,1.778266887152],[1.682920956659,-0.012812339072],[-1.398084780916,0.897113557698],[-0.54331427015,1.078846121244],[-1.834261908262,-1.41403617515]],\"p1\":[[1.640530447384,-1.498228657742],[-1.256802186781,1.768282630268],[1.685067869382,-0.021722915071],[-1.398535964735,0.885207927149],[-0.556642666662,1.077835142841],[-1.840049339439,-1.421895531488]],\"v0\":[[-0.068842219408,-0.038750423441],[0.062350922553,-0.087871815728],[0.017087026318,-0.08102387969],[-0.019971119731,-0.082759739062],[-0.082149364638,-0.01775137156],[-0.046005807698,-0.067413191782]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[1.64872136126,-1.492831005364],[-1.265909531929,1.778266887152],[1.682920956659,-0.012812339072],[-1.398084780916,0.897113557698],[-0.54331427015,1.078846121244],[-1.834261908262,-1.41403617515]],\"p1\":[[1.640530447384,-1.498228657742],[-1.256802186781,1.768282630268],[1.685067869382,-0.021722915071],[-1.398535964735,0.885207927149],[-0.556642666662,1.077835142841],[-1.840049339439,-1.421895531488]],\"v0\":[[-0.068842219408,-0.038750423441],[0.062350922553,-0.087871815728],[0.017087026318,-0.08102387969],[-0.019971119731,-0.082759739062],[-0.082149364638,-0.01775137156],[-0.046005807698,-0.067413191782]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"e614a057c442c8f0a449","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.784629915109,-1.878720320664],[-0.738409474652,-1.617890505206],[-0.45833076671,0.905759947843],[0.203798090458,0.683619335393],[0.807369089557,-0.916950865194],[1.282446996931,0.569862002995]],\"p1\":[[1.784133898254,-1.873111018055],[-0.732876532061,-1.627990295591],[-0.457145162422,0.906904510839],[0.205686329102,0.682935815007],[0.803432099931,-0.908647633821],[1.274179805419,0.560146713424]],\"v0\":[[-0.015900392581,0.049840563572],[0.045822309989,-0.084398305464],[0.02059987401,-0.002754173901],[0.012204689238,0.00803821026],[-0.015843859688,0.071640255352],[-0.080994391536,-0.087712411195]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,0],\"p0\":[[1.784629915109,-1.878720320664],[-0.738409474652,-1.617890505206],[-0.45833076671,0.905759947843],[0.203798090458,0.683619335393],[0.807369089557,-0.916950865194],[1.282446996931,0.569862002995]],\"p1\":[[1.784133898254,-1.873111018055],[-0.732876532061,-1.627990295591],[-0.457145162422,0.906904510839],[0.205686329102,0.682935815007],[0.803432099931,-0.908647633821],[1.274179805419,0.560146713424]],\"v0\":[[-0.015900392581,0.049840563572],[0.045822309989,-0.084398305464],[0.02059987401,-0.002754173901],[0.012204689238,0.00803821026],[-0.015843859688,0.071640255352],[-0.080994391536,-0.087712411195]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[1.784629915109,-1.878720320664],[-0.738409474652,-1.617890505206],[-0.45833076671,0.905759947843],[0.203798090458,0.683619335393],[0.807369089557,-0.916950865194],[1.282446996931,0.569862002995]],\"p1\":[[1.784133898254,-1.873111018055],[-0.732876532061,-1.627990295591],[-0.457145162422,0.906904510839],[0.205686329102,0.682935815007],[0.803432099931,-0.908647633821],[1.274179805419,0.560146713424]],\"v0\":[[-0.015900392581,0.049840563572],[0.045822309989,-0.084398305464],[0.02059987401,-0.002754173901],[0.012204689238,0.00803821026],[-0.015843859688,0.071640255352],[-0.080994391536,-0.087712411195]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"62c0788bb70afbad6ec6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.086402150284,0.289100351109],[-1.625800827053,0.775766405246],[0.424222187049,0.893480224463],[-1.093888604684,-0.977419092228],[0.762219420161,-0.046494952882],[-1.682437369999,-2.084004053952]],\"p1\":[[-1.076804447448,0.278220508998],[-1.633352064013,0.779950434233],[0.434044296421,0.903981400955],[-1.087328057535,-0.97796887224],[0.774646010274,-0.045261182069],[-1.689194842596,-2.07863508784]],\"v0\":[[0.070257050994,-0.084192012721],[-0.038323678209,0.012368798554],[0.07599907606,0.06979005155],[0.053820211873,0.003722152449],[0.088887299498,0.022099521858],[-0.049821294285,0.058364157315]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,1],\"p0\":[[-1.086402150284,0.289100351109],[-1.625800827053,0.775766405246],[0.424222187049,0.893480224463],[-1.093888604684,-0.977419092228],[0.762219420161,-0.046494952882],[-1.682437369999,-2.084004053952]],\"p1\":[[-1.076804447448,0.278220508998],[-1.633352064013,0.779950434233],[0.434044296421,0.903981400955],[-1.087328057535,-0.97796887224],[0.774646010274,-0.045261182069],[-1.689194842596,-2.07863508784]],\"v0\":[[0.070257050994,-0.084192012721],[-0.038323678209,0.012368798554],[0.07599907606,0.06979005155],[0.053820211873,0.003722152449],[0.088887299498,0.022099521858],[-0.049821294285,0.058364157315]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[-1.086402150284,0.289100351109],[-1.625800827053,0.775766405246],[0.424222187049,0.893480224463],[-1.093888604684,-0.977419092228],[0.762219420161,-0.046494952882],[-1.682437369999,-2.084004053952]],\"p1\":[[-1.076804447448,0.278220508998],[-1.633352064013,0.779950434233],[0.434044296421,0.903981400955],[-1.087328057535,-0.97796887224],[0.774646010274,-0.045261182069],[-1.689194842596,-2.07863508784]],\"v0\":[[0.070257050994,-0.084192012721],[-0.038323678209,0.012368798554],[0.07599907606,0.06979005155],[0.053820211873,0.003722152449],[0.088887299498,0.022099521858],[-0.049821294285,0.058364157315]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"aa9ef3ba38c24c8b8821","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.040062241884,1.482687500048],[1.038120496745,-1.380847672206],[1.904808501817,0.791498957516],[1.315033230275,-2.147138355523],[0.374106743395,1.732399558567],[-0.867389015525,1.249348324367]],\"p1\":[[1.035844875184,1.491600587479],[1.045451145235,-1.37116866877],[1.89595550461,0.78807047114],[1.314796333234,-2.152581347047],[0.381665476883,1.740367796263],[-0.869343765228,1.257305801]],\"v0\":[[-0.020287850993,0.085369737706],[0.056762506422,0.077630669394],[-0.048991752956,-0.031075004295],[0.005748333113,-0.076108741275],[0.046694942371,0.08891298278],[-0.043031416887,0.068989749816]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[1.040062241884,1.482687500048],[1.038120496745,-1.380847672206],[1.904808501817,0.791498957516],[1.315033230275,-2.147138355523],[0.374106743395,1.732399558567],[-0.867389015525,1.249348324367]],\"p1\":[[1.035844875184,1.491600587479],[1.045451145235,-1.37116866877],[1.89595550461,0.78807047114],[1.314796333234,-2.152581347047],[0.381665476883,1.740367796263],[-0.869343765228,1.257305801]],\"v0\":[[-0.020287850993,0.085369737706],[0.056762506422,0.077630669394],[-0.048991752956,-0.031075004295],[0.005748333113,-0.076108741275],[0.046694942371,0.08891298278],[-0.043031416887,0.068989749816]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[1.040062241884,1.482687500048],[1.038120496745,-1.380847672206],[1.904808501817,0.791498957516],[1.315033230275,-2.147138355523],[0.374106743395,1.732399558567],[-0.867389015525,1.249348324367]],\"p1\":[[1.035844875184,1.491600587479],[1.045451145235,-1.37116866877],[1.89595550461,0.78807047114],[1.314796333234,-2.152581347047],[0.381665476883,1.740367796263],[-0.869343765228,1.257305801]],\"v0\":[[-0.020287850993,0.085369737706],[0.056762506422,0.077630669394],[-0.048991752956,-0.031075004295],[0.005748333113,-0.076108741275],[0.046694942371,0.08891298278],[-0.043031416887,0.068989749816]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"9081b1e69bcf4bb301f9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.089960558835,1.18564711379],[1.737424776033,2.099566757541],[-0.113780776712,1.866485905513],[0.910128980011,0.666304492736],[-1.243094135953,0.781706163096],[1.145169073023,-0.567821679123]],\"p1\":[[-0.094216717669,1.191051198414],[1.737008989579,2.108855373177],[-0.113636355674,1.879172091245],[0.903727055577,0.664889809131],[-1.255226522119,0.788055110701],[1.139742100206,-0.572934729275]],\"v0\":[[-0.030705273691,0.063295549124],[-0.014749057702,0.068527764601],[0.006555488263,0.068963585406],[-0.065440967631,-0.00650220269],[-0.08231840766,0.059361560367],[-0.050748512151,-0.026978758134]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[-0.089960558835,1.18564711379],[1.737424776033,2.099566757541],[-0.113780776712,1.866485905513],[0.910128980011,0.666304492736],[-1.243094135953,0.781706163096],[1.145169073023,-0.567821679123]],\"p1\":[[-0.094216717669,1.191051198414],[1.737008989579,2.108855373177],[-0.113636355674,1.879172091245],[0.903727055577,0.664889809131],[-1.255226522119,0.788055110701],[1.139742100206,-0.572934729275]],\"v0\":[[-0.030705273691,0.063295549124],[-0.014749057702,0.068527764601],[0.006555488263,0.068963585406],[-0.065440967631,-0.00650220269],[-0.08231840766,0.059361560367],[-0.050748512151,-0.026978758134]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-0.089960558835,1.18564711379],[1.737424776033,2.099566757541],[-0.113780776712,1.866485905513],[0.910128980011,0.666304492736],[-1.243094135953,0.781706163096],[1.145169073023,-0.567821679123]],\"p1\":[[-0.094216717669,1.191051198414],[1.737008989579,2.108855373177],[-0.113636355674,1.879172091245],[0.903727055577,0.664889809131],[-1.255226522119,0.788055110701],[1.139742100206,-0.572934729275]],\"v0\":[[-0.030705273691,0.063295549124],[-0.014749057702,0.068527764601],[0.006555488263,0.068963585406],[-0.065440967631,-0.00650220269],[-0.08231840766,0.059361560367],[-0.050748512151,-0.026978758134]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"2df871a9e58bec91e473","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.709131680606,-1.28093871881],[1.7802675694,0.794453944715],[0.908131327171,-0.495873180034],[-1.619376653208,-1.491173928433],[1.740293498942,1.477031912277],[-0.403273546706,-0.822724892244]],\"p1\":[[0.701225878567,-1.290919978526],[1.782314531161,0.801367096985],[0.908308742599,-0.494031755379],[-1.630829229563,-1.496174314485],[1.731328574668,1.471367728765],[-0.399852094853,-0.829966013373]],\"v0\":[[-0.067545445629,-0.062854223756],[0.01223952491,0.073756864643],[0.005058012884,0.001141443478],[-0.088229398616,-0.035244642324],[-0.071902451476,-0.063825128302],[0.021400811052,-0.072410759447]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[0.709131680606,-1.28093871881],[1.7802675694,0.794453944715],[0.908131327171,-0.495873180034],[-1.619376653208,-1.491173928433],[1.740293498942,1.477031912277],[-0.403273546706,-0.822724892244]],\"p1\":[[0.701225878567,-1.290919978526],[1.782314531161,0.801367096985],[0.908308742599,-0.494031755379],[-1.630829229563,-1.496174314485],[1.731328574668,1.471367728765],[-0.399852094853,-0.829966013373]],\"v0\":[[-0.067545445629,-0.062854223756],[0.01223952491,0.073756864643],[0.005058012884,0.001141443478],[-0.088229398616,-0.035244642324],[-0.071902451476,-0.063825128302],[0.021400811052,-0.072410759447]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[0.709131680606,-1.28093871881],[1.7802675694,0.794453944715],[0.908131327171,-0.495873180034],[-1.619376653208,-1.491173928433],[1.740293498942,1.477031912277],[-0.403273546706,-0.822724892244]],\"p1\":[[0.701225878567,-1.290919978526],[1.782314531161,0.801367096985],[0.908308742599,-0.494031755379],[-1.630829229563,-1.496174314485],[1.731328574668,1.471367728765],[-0.399852094853,-0.829966013373]],\"v0\":[[-0.067545445629,-0.062854223756],[0.01223952491,0.073756864643],[0.005058012884,0.001141443478],[-0.088229398616,-0.035244642324],[-0.071902451476,-0.063825128302],[0.021400811052,-0.072410759447]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"9c0278e844db2e6601fc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.483584701249,-1.365609885768],[-0.22497755669,-1.376639268318],[-0.033871379946,-0.504665164605],[1.837295137481,-1.446208234776],[-1.467676330026,0.144159681314],[0.501428303942,-0.788370973661]],\"p1\":[[-1.491345982596,-1.370701642845],[-0.237260450017,-1.386715790665],[-0.030078520468,-0.490597731922],[1.84030723413,-1.441521900018],[-1.47111623669,0.151495517174],[0.516126870067,-0.794576323411]],\"v0\":[[-0.079494297378,-0.039692167001],[-0.079105857976,-0.061010367688],[0.063851674407,0.086956726796],[0.034754303433,0.035181422305],[-0.037952569759,0.060991919542],[0.081442088224,-0.043127749548]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[-1.483584701249,-1.365609885768],[-0.22497755669,-1.376639268318],[-0.033871379946,-0.504665164605],[1.837295137481,-1.446208234776],[-1.467676330026,0.144159681314],[0.501428303942,-0.788370973661]],\"p1\":[[-1.491345982596,-1.370701642845],[-0.237260450017,-1.386715790665],[-0.030078520468,-0.490597731922],[1.84030723413,-1.441521900018],[-1.47111623669,0.151495517174],[0.516126870067,-0.794576323411]],\"v0\":[[-0.079494297378,-0.039692167001],[-0.079105857976,-0.061010367688],[0.063851674407,0.086956726796],[0.034754303433,0.035181422305],[-0.037952569759,0.060991919542],[0.081442088224,-0.043127749548]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[-1.483584701249,-1.365609885768],[-0.22497755669,-1.376639268318],[-0.033871379946,-0.504665164605],[1.837295137481,-1.446208234776],[-1.467676330026,0.144159681314],[0.501428303942,-0.788370973661]],\"p1\":[[-1.491345982596,-1.370701642845],[-0.237260450017,-1.386715790665],[-0.030078520468,-0.490597731922],[1.84030723413,-1.441521900018],[-1.47111623669,0.151495517174],[0.516126870067,-0.794576323411]],\"v0\":[[-0.079494297378,-0.039692167001],[-0.079105857976,-0.061010367688],[0.063851674407,0.086956726796],[0.034754303433,0.035181422305],[-0.037952569759,0.060991919542],[0.081442088224,-0.043127749548]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"be06f921e288585033ea","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.807921233054,1.730562035943],[1.229659187397,1.153533345454],[-1.020393936384,-1.661932168037],[1.22606174242,-1.112993205893],[1.331812386458,0.387818592092],[-0.764676925023,-0.250726762726]],\"p1\":[[-0.801815790157,1.740412072677],[1.231528170287,1.158098859273],[-1.018184141971,-1.668725456761],[1.217350598507,-1.113099919913],[1.323023565178,0.385448436815],[-0.767149292178,-0.251369188594]],\"v0\":[[0.059361500588,0.083537550263],[0.004516135258,0.050614505749],[0.020485157439,-0.047376713746],[-0.069495760059,0.007364526285],[-0.079220774533,-0.042286063601],[-0.017213859928,-0.014329082743]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[-0.807921233054,1.730562035943],[1.229659187397,1.153533345454],[-1.020393936384,-1.661932168037],[1.22606174242,-1.112993205893],[1.331812386458,0.387818592092],[-0.764676925023,-0.250726762726]],\"p1\":[[-0.801815790157,1.740412072677],[1.231528170287,1.158098859273],[-1.018184141971,-1.668725456761],[1.217350598507,-1.113099919913],[1.323023565178,0.385448436815],[-0.767149292178,-0.251369188594]],\"v0\":[[0.059361500588,0.083537550263],[0.004516135258,0.050614505749],[0.020485157439,-0.047376713746],[-0.069495760059,0.007364526285],[-0.079220774533,-0.042286063601],[-0.017213859928,-0.014329082743]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[-0.807921233054,1.730562035943],[1.229659187397,1.153533345454],[-1.020393936384,-1.661932168037],[1.22606174242,-1.112993205893],[1.331812386458,0.387818592092],[-0.764676925023,-0.250726762726]],\"p1\":[[-0.801815790157,1.740412072677],[1.231528170287,1.158098859273],[-1.018184141971,-1.668725456761],[1.217350598507,-1.113099919913],[1.323023565178,0.385448436815],[-0.767149292178,-0.251369188594]],\"v0\":[[0.059361500588,0.083537550263],[0.004516135258,0.050614505749],[0.020485157439,-0.047376713746],[-0.069495760059,0.007364526285],[-0.079220774533,-0.042286063601],[-0.017213859928,-0.014329082743]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"71bb7d975484f989e4e2","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.084957012635,0.262446149293],[-1.839539768909,-1.667614825559],[1.951403373026,1.375565991881],[1.090080007467,1.937936244684],[0.140946785262,-0.410954045684],[-1.738712700623,0.785426929301]],\"p1\":[[-0.083074041412,0.265473892999],[-1.830689419755,-1.673954446283],[1.947296716414,1.382519068455],[1.080107395741,1.941028155896],[0.141400274812,-0.404986693627],[-1.746237467412,0.795848901578]],\"v0\":[[0.022206141618,0.004933214781],[0.078333046437,-0.046631241672],[-0.050381828184,0.061595674421],[-0.076943397818,0.012807364373],[-0.006534673935,0.077698854688],[-0.053489498125,0.08228309259]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[-0.084957012635,0.262446149293],[-1.839539768909,-1.667614825559],[1.951403373026,1.375565991881],[1.090080007467,1.937936244684],[0.140946785262,-0.410954045684],[-1.738712700623,0.785426929301]],\"p1\":[[-0.083074041412,0.265473892999],[-1.830689419755,-1.673954446283],[1.947296716414,1.382519068455],[1.080107395741,1.941028155896],[0.141400274812,-0.404986693627],[-1.746237467412,0.795848901578]],\"v0\":[[0.022206141618,0.004933214781],[0.078333046437,-0.046631241672],[-0.050381828184,0.061595674421],[-0.076943397818,0.012807364373],[-0.006534673935,0.077698854688],[-0.053489498125,0.08228309259]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[-0.084957012635,0.262446149293],[-1.839539768909,-1.667614825559],[1.951403373026,1.375565991881],[1.090080007467,1.937936244684],[0.140946785262,-0.410954045684],[-1.738712700623,0.785426929301]],\"p1\":[[-0.083074041412,0.265473892999],[-1.830689419755,-1.673954446283],[1.947296716414,1.382519068455],[1.080107395741,1.941028155896],[0.141400274812,-0.404986693627],[-1.746237467412,0.795848901578]],\"v0\":[[0.022206141618,0.004933214781],[0.078333046437,-0.046631241672],[-0.050381828184,0.061595674421],[-0.076943397818,0.012807364373],[-0.006534673935,0.077698854688],[-0.053489498125,0.08228309259]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"7c4f709486419bf7a3a7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.104039558607,-1.197817813635],[-0.957898761041,-1.092335188876],[0.121874691782,-0.37020422184],[-0.536259543966,-1.53345171312],[-1.468488433666,0.307942727879],[0.712345039856,-1.344134466625]],\"p1\":[[-2.089930251164,-1.204176935242],[-0.950018393295,-1.084794544995],[0.12578798157,-0.383428464428],[-0.542265880557,-1.536438902363],[-1.47256602913,0.313639353697],[0.716831614527,-1.339117474677]],\"v0\":[[0.082734996107,-0.062123645172],[0.049060119521,0.065826188978],[0.053650338129,-0.085659685603],[-0.039827986429,-0.059251016741],[-0.048719670175,0.076928985448],[0.072315599464,0.028310074838]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[-2.104039558607,-1.197817813635],[-0.957898761041,-1.092335188876],[0.121874691782,-0.37020422184],[-0.536259543966,-1.53345171312],[-1.468488433666,0.307942727879],[0.712345039856,-1.344134466625]],\"p1\":[[-2.089930251164,-1.204176935242],[-0.950018393295,-1.084794544995],[0.12578798157,-0.383428464428],[-0.542265880557,-1.536438902363],[-1.47256602913,0.313639353697],[0.716831614527,-1.339117474677]],\"v0\":[[0.082734996107,-0.062123645172],[0.049060119521,0.065826188978],[0.053650338129,-0.085659685603],[-0.039827986429,-0.059251016741],[-0.048719670175,0.076928985448],[0.072315599464,0.028310074838]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-2.104039558607,-1.197817813635],[-0.957898761041,-1.092335188876],[0.121874691782,-0.37020422184],[-0.536259543966,-1.53345171312],[-1.468488433666,0.307942727879],[0.712345039856,-1.344134466625]],\"p1\":[[-2.089930251164,-1.204176935242],[-0.950018393295,-1.084794544995],[0.12578798157,-0.383428464428],[-0.542265880557,-1.536438902363],[-1.47256602913,0.313639353697],[0.716831614527,-1.339117474677]],\"v0\":[[0.082734996107,-0.062123645172],[0.049060119521,0.065826188978],[0.053650338129,-0.085659685603],[-0.039827986429,-0.059251016741],[-0.048719670175,0.076928985448],[0.072315599464,0.028310074838]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"d16b444e30403ea7b7de","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.946365328565,1.445541062967],[1.394389003665,0.530809940566],[-1.109417754465,-1.383263380405],[-1.4176044677,-0.736061103005],[1.205648394937,-1.141554116073],[-2.053262457821,-1.631596227945]],\"p1\":[[0.937250468497,1.448656395529],[1.399462310842,0.538680788588],[-1.104500820776,-1.387380941697],[-1.414962711415,-0.732299409165],[1.213320015635,-1.147794611678],[-2.049886885171,-1.625828872531]],\"v0\":[[-0.072189049376,0.009663127148],[0.032672483305,0.070461902034],[0.020925267075,-0.013261240687],[0.030534065636,0.000762679317],[0.058353225884,-0.045133820757],[0.051073427731,0.062150460772]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[0.946365328565,1.445541062967],[1.394389003665,0.530809940566],[-1.109417754465,-1.383263380405],[-1.4176044677,-0.736061103005],[1.205648394937,-1.141554116073],[-2.053262457821,-1.631596227945]],\"p1\":[[0.937250468497,1.448656395529],[1.399462310842,0.538680788588],[-1.104500820776,-1.387380941697],[-1.414962711415,-0.732299409165],[1.213320015635,-1.147794611678],[-2.049886885171,-1.625828872531]],\"v0\":[[-0.072189049376,0.009663127148],[0.032672483305,0.070461902034],[0.020925267075,-0.013261240687],[0.030534065636,0.000762679317],[0.058353225884,-0.045133820757],[0.051073427731,0.062150460772]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[0.946365328565,1.445541062967],[1.394389003665,0.530809940566],[-1.109417754465,-1.383263380405],[-1.4176044677,-0.736061103005],[1.205648394937,-1.141554116073],[-2.053262457821,-1.631596227945]],\"p1\":[[0.937250468497,1.448656395529],[1.399462310842,0.538680788588],[-1.104500820776,-1.387380941697],[-1.414962711415,-0.732299409165],[1.213320015635,-1.147794611678],[-2.049886885171,-1.625828872531]],\"v0\":[[-0.072189049376,0.009663127148],[0.032672483305,0.070461902034],[0.020925267075,-0.013261240687],[0.030534065636,0.000762679317],[0.058353225884,-0.045133820757],[0.051073427731,0.062150460772]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,0]}"},{"episode_id":"e07076e3d5e92583d093","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.438150657536,-1.11326887222],[-0.507480570183,-1.911875458187],[2.079882314372,-0.045193953488],[1.540116557278,-0.320429646612],[1.912397347635,1.533419742305],[-1.119047676051,0.535347233492]],\"p1\":[[-0.445196801061,-1.121999717283],[-0.49844565943,-1.912925828768],[2.089344463272,-0.038511950163],[1.543760548764,-0.314877320726],[1.903818252636,1.528114750246],[-1.108435054269,0.523545759126]],\"v0\":[[-0.055590271664,-0.065837836689],[0.074025421716,-0.03318216698],[0.073541713213,0.040983380937],[0.035470112832,0.059053148746],[-0.065010467335,-0.035478925425],[0.080300444549,-0.087648874414]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[-0.438150657536,-1.11326887222],[-0.507480570183,-1.911875458187],[2.079882314372,-0.045193953488],[1.540116557278,-0.320429646612],[1.912397347635,1.533419742305],[-1.119047676051,0.535347233492]],\"p1\":[[-0.445196801061,-1.121999717283],[-0.49844565943,-1.912925828768],[2.089344463272,-0.038511950163],[1.543760548764,-0.314877320726],[1.903818252636,1.528114750246],[-1.108435054269,0.523545759126]],\"v0\":[[-0.055590271664,-0.065837836689],[0.074025421716,-0.03318216698],[0.073541713213,0.040983380937],[0.035470112832,0.059053148746],[-0.065010467335,-0.035478925425],[0.080300444549,-0.087648874414]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-0.438150657536,-1.11326887222],[-0.507480570183,-1.911875458187],[2.079882314372,-0.045193953488],[1.540116557278,-0.320429646612],[1.912397347635,1.533419742305],[-1.119047676051,0.535347233492]],\"p1\":[[-0.445196801061,-1.121999717283],[-0.49844565943,-1.912925828768],[2.089344463272,-0.038511950163],[1.543760548764,-0.314877320726],[1.903818252636,1.528114750246],[-1.108435054269,0.523545759126]],\"v0\":[[-0.055590271664,-0.065837836689],[0.074025421716,-0.03318216698],[0.073541713213,0.040983380937],[0.035470112832,0.059053148746],[-0.065010467335,-0.035478925425],[0.080300444549,-0.087648874414]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"bc8ba2b9fc0953f8b59d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.297493364178,1.219554811244],[-0.054431708782,-1.409706765599],[2.15831971864,1.219706529444],[-0.880802337676,1.107706983079],[0.458808355061,-0.395512928312],[0.243292774645,0.506043790991]],\"p1\":[[-0.29407282052,1.217179782151],[-0.062414391448,-1.401680744956],[2.157501420598,1.216930442622],[-0.887154591232,1.1116153078],[0.468137925021,-0.401892170025],[0.253741692684,0.502534043993]],\"v0\":[[0.008625962036,-0.041448327389],[-0.0719232402,0.048757752223],[-0.015018222545,-0.025242155535],[-0.008183433244,0.03436195486],[0.076637116193,-0.020045049313],[0.076910129362,-0.022265502034]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[-0.297493364178,1.219554811244],[-0.054431708782,-1.409706765599],[2.15831971864,1.219706529444],[-0.880802337676,1.107706983079],[0.458808355061,-0.395512928312],[0.243292774645,0.506043790991]],\"p1\":[[-0.29407282052,1.217179782151],[-0.062414391448,-1.401680744956],[2.157501420598,1.216930442622],[-0.887154591232,1.1116153078],[0.468137925021,-0.401892170025],[0.253741692684,0.502534043993]],\"v0\":[[0.008625962036,-0.041448327389],[-0.0719232402,0.048757752223],[-0.015018222545,-0.025242155535],[-0.008183433244,0.03436195486],[0.076637116193,-0.020045049313],[0.076910129362,-0.022265502034]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-0.297493364178,1.219554811244],[-0.054431708782,-1.409706765599],[2.15831971864,1.219706529444],[-0.880802337676,1.107706983079],[0.458808355061,-0.395512928312],[0.243292774645,0.506043790991]],\"p1\":[[-0.29407282052,1.217179782151],[-0.062414391448,-1.401680744956],[2.157501420598,1.216930442622],[-0.887154591232,1.1116153078],[0.468137925021,-0.401892170025],[0.253741692684,0.502534043993]],\"v0\":[[0.008625962036,-0.041448327389],[-0.0719232402,0.048757752223],[-0.015018222545,-0.025242155535],[-0.008183433244,0.03436195486],[0.076637116193,-0.020045049313],[0.076910129362,-0.022265502034]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,0,0]}"},{"episode_id":"1c2b1849aadeccacb972","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.172307426263,1.489896798326],[-0.576615099078,0.915221028697],[-1.058099108052,2.139174455931],[-1.359708726448,-0.075233643461],[-1.770542847209,1.600300858656],[1.070510399852,-1.481153252698]],\"p1\":[[-0.171372307657,1.48243499423],[-0.565254701728,0.924935555476],[-1.054896060049,2.149801338917],[-1.353800640692,-0.070936812908],[-1.763320259458,1.594499827841],[1.064427597713,-1.481847594075]],\"v0\":[[0.011287000852,-0.041369496496],[0.078997979831,0.065592459662],[0.031215262457,0.065179527491],[0.062112756739,0.049427833837],[0.054284172477,-0.038845020638],[-0.050010211289,-0.010976436945]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[-0.172307426263,1.489896798326],[-0.576615099078,0.915221028697],[-1.058099108052,2.139174455931],[-1.359708726448,-0.075233643461],[-1.770542847209,1.600300858656],[1.070510399852,-1.481153252698]],\"p1\":[[-0.171372307657,1.48243499423],[-0.565254701728,0.924935555476],[-1.054896060049,2.149801338917],[-1.353800640692,-0.070936812908],[-1.763320259458,1.594499827841],[1.064427597713,-1.481847594075]],\"v0\":[[0.011287000852,-0.041369496496],[0.078997979831,0.065592459662],[0.031215262457,0.065179527491],[0.062112756739,0.049427833837],[0.054284172477,-0.038845020638],[-0.050010211289,-0.010976436945]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-0.172307426263,1.489896798326],[-0.576615099078,0.915221028697],[-1.058099108052,2.139174455931],[-1.359708726448,-0.075233643461],[-1.770542847209,1.600300858656],[1.070510399852,-1.481153252698]],\"p1\":[[-0.171372307657,1.48243499423],[-0.565254701728,0.924935555476],[-1.054896060049,2.149801338917],[-1.353800640692,-0.070936812908],[-1.763320259458,1.594499827841],[1.064427597713,-1.481847594075]],\"v0\":[[0.011287000852,-0.041369496496],[0.078997979831,0.065592459662],[0.031215262457,0.065179527491],[0.062112756739,0.049427833837],[0.054284172477,-0.038845020638],[-0.050010211289,-0.010976436945]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"ef80177d173245c15e2e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.139947141957,-0.782152597761],[0.70958206166,-1.494394258631],[-0.567004749175,-1.858609805186],[1.646804444057,1.531327591062],[2.056520073775,-1.71329793669],[2.072768047551,-0.275356937659]],\"p1\":[[1.137727866772,-0.788978726481],[0.716534941771,-1.504396879017],[-0.577427777011,-1.866126746842],[1.654135628954,1.521719766154],[2.060470746811,-1.722692834945],[2.067799101018,-0.267943473794]],\"v0\":[[-0.014422886603,-0.072652437994],[0.071213103454,-0.066105066727],[-0.072522490917,-0.057016359888],[0.060756400219,-0.089986952882],[0.017648416496,-0.063343209768],[-0.057476805224,0.049646110093]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[1.139947141957,-0.782152597761],[0.70958206166,-1.494394258631],[-0.567004749175,-1.858609805186],[1.646804444057,1.531327591062],[2.056520073775,-1.71329793669],[2.072768047551,-0.275356937659]],\"p1\":[[1.137727866772,-0.788978726481],[0.716534941771,-1.504396879017],[-0.577427777011,-1.866126746842],[1.654135628954,1.521719766154],[2.060470746811,-1.722692834945],[2.067799101018,-0.267943473794]],\"v0\":[[-0.014422886603,-0.072652437994],[0.071213103454,-0.066105066727],[-0.072522490917,-0.057016359888],[0.060756400219,-0.089986952882],[0.017648416496,-0.063343209768],[-0.057476805224,0.049646110093]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[1.139947141957,-0.782152597761],[0.70958206166,-1.494394258631],[-0.567004749175,-1.858609805186],[1.646804444057,1.531327591062],[2.056520073775,-1.71329793669],[2.072768047551,-0.275356937659]],\"p1\":[[1.137727866772,-0.788978726481],[0.716534941771,-1.504396879017],[-0.577427777011,-1.866126746842],[1.654135628954,1.521719766154],[2.060470746811,-1.722692834945],[2.067799101018,-0.267943473794]],\"v0\":[[-0.014422886603,-0.072652437994],[0.071213103454,-0.066105066727],[-0.072522490917,-0.057016359888],[0.060756400219,-0.089986952882],[0.017648416496,-0.063343209768],[-0.057476805224,0.049646110093]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"a65d4160a59a811d536a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.920945202781,1.343428986452],[1.704722742761,-1.442322737032],[1.494600448838,1.398834555384],[-0.233699735689,1.658719152203],[-1.733695662899,-1.88624887912],[-0.322165509214,-1.54649466264]],\"p1\":[[-0.90857676709,1.33653086089],[1.700178841682,-1.447492241621],[1.493775226597,1.403009730512],[-0.224671475581,1.651213296086],[-1.726318009852,-1.881752969545],[-0.32402344858,-1.553275692706]],\"v0\":[[0.078463846884,-0.053385162822],[-0.021716186782,-0.053266287488],[0.011094298567,0.044501404519],[0.082866843643,-0.042677887772],[0.043192816677,0.024825270328],[-0.014340900981,-0.067359267033]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,1],\"p0\":[[-0.920945202781,1.343428986452],[1.704722742761,-1.442322737032],[1.494600448838,1.398834555384],[-0.233699735689,1.658719152203],[-1.733695662899,-1.88624887912],[-0.322165509214,-1.54649466264]],\"p1\":[[-0.90857676709,1.33653086089],[1.700178841682,-1.447492241621],[1.493775226597,1.403009730512],[-0.224671475581,1.651213296086],[-1.726318009852,-1.881752969545],[-0.32402344858,-1.553275692706]],\"v0\":[[0.078463846884,-0.053385162822],[-0.021716186782,-0.053266287488],[0.011094298567,0.044501404519],[0.082866843643,-0.042677887772],[0.043192816677,0.024825270328],[-0.014340900981,-0.067359267033]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-0.920945202781,1.343428986452],[1.704722742761,-1.442322737032],[1.494600448838,1.398834555384],[-0.233699735689,1.658719152203],[-1.733695662899,-1.88624887912],[-0.322165509214,-1.54649466264]],\"p1\":[[-0.90857676709,1.33653086089],[1.700178841682,-1.447492241621],[1.493775226597,1.403009730512],[-0.224671475581,1.651213296086],[-1.726318009852,-1.881752969545],[-0.32402344858,-1.553275692706]],\"v0\":[[0.078463846884,-0.053385162822],[-0.021716186782,-0.053266287488],[0.011094298567,0.044501404519],[0.082866843643,-0.042677887772],[0.043192816677,0.024825270328],[-0.014340900981,-0.067359267033]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"9fbf2f650a644f2d4714","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.544577294217,0.777018729845],[-0.255020512617,2.158507690162],[-0.469857629527,-0.826564001916],[-1.990748284099,1.719433542645],[-2.123771364833,-0.164324233806],[-1.298693157143,2.101410380963]],\"p1\":[[-1.550696602108,0.778981169832],[-0.251133859716,2.156025738417],[-0.472094864749,-0.834835764608],[-1.987495927121,1.7158040571],[-2.12426255656,-0.176038972862],[-1.288951258114,2.103975793639]],\"v0\":[[-0.055972370744,0.025482213763],[0.011778687745,-0.028176211127],[-0.026029160746,-0.059649861001],[0.055615817997,-0.035785765159],[0.00801389166,-0.082223906267],[0.07353625132,0.000602809989]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[-1.544577294217,0.777018729845],[-0.255020512617,2.158507690162],[-0.469857629527,-0.826564001916],[-1.990748284099,1.719433542645],[-2.123771364833,-0.164324233806],[-1.298693157143,2.101410380963]],\"p1\":[[-1.550696602108,0.778981169832],[-0.251133859716,2.156025738417],[-0.472094864749,-0.834835764608],[-1.987495927121,1.7158040571],[-2.12426255656,-0.176038972862],[-1.288951258114,2.103975793639]],\"v0\":[[-0.055972370744,0.025482213763],[0.011778687745,-0.028176211127],[-0.026029160746,-0.059649861001],[0.055615817997,-0.035785765159],[0.00801389166,-0.082223906267],[0.07353625132,0.000602809989]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-1.544577294217,0.777018729845],[-0.255020512617,2.158507690162],[-0.469857629527,-0.826564001916],[-1.990748284099,1.719433542645],[-2.123771364833,-0.164324233806],[-1.298693157143,2.101410380963]],\"p1\":[[-1.550696602108,0.778981169832],[-0.251133859716,2.156025738417],[-0.472094864749,-0.834835764608],[-1.987495927121,1.7158040571],[-2.12426255656,-0.176038972862],[-1.288951258114,2.103975793639]],\"v0\":[[-0.055972370744,0.025482213763],[0.011778687745,-0.028176211127],[-0.026029160746,-0.059649861001],[0.055615817997,-0.035785765159],[0.00801389166,-0.082223906267],[0.07353625132,0.000602809989]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"2821c80ea90c76725a32","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.543577705504,-0.491144960573],[-2.125142842549,-0.450809541517],[1.679565730275,-1.425420617858],[-1.013828475868,1.536330200775],[-0.468740497308,-1.972685504881],[-1.677289397682,-2.119083022194]],\"p1\":[[-0.536481175327,-0.479653890261],[-2.125745165831,-0.454009579172],[1.674904096282,-1.428576216329],[-1.014760835309,1.5269116584],[-0.46557012519,-1.969827930329],[-1.668317063574,-2.121936550339]],\"v0\":[[0.061786654841,0.083355714491],[0.000912420955,-0.024134280635],[-0.041039417581,-0.021500845215],[-0.008671142655,-0.080126857477],[0.012310982779,0.030036937399],[0.083391499063,-0.023289516749]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,0],\"p0\":[[-0.543577705504,-0.491144960573],[-2.125142842549,-0.450809541517],[1.679565730275,-1.425420617858],[-1.013828475868,1.536330200775],[-0.468740497308,-1.972685504881],[-1.677289397682,-2.119083022194]],\"p1\":[[-0.536481175327,-0.479653890261],[-2.125745165831,-0.454009579172],[1.674904096282,-1.428576216329],[-1.014760835309,1.5269116584],[-0.46557012519,-1.969827930329],[-1.668317063574,-2.121936550339]],\"v0\":[[0.061786654841,0.083355714491],[0.000912420955,-0.024134280635],[-0.041039417581,-0.021500845215],[-0.008671142655,-0.080126857477],[0.012310982779,0.030036937399],[0.083391499063,-0.023289516749]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[-0.543577705504,-0.491144960573],[-2.125142842549,-0.450809541517],[1.679565730275,-1.425420617858],[-1.013828475868,1.536330200775],[-0.468740497308,-1.972685504881],[-1.677289397682,-2.119083022194]],\"p1\":[[-0.536481175327,-0.479653890261],[-2.125745165831,-0.454009579172],[1.674904096282,-1.428576216329],[-1.014760835309,1.5269116584],[-0.46557012519,-1.969827930329],[-1.668317063574,-2.121936550339]],\"v0\":[[0.061786654841,0.083355714491],[0.000912420955,-0.024134280635],[-0.041039417581,-0.021500845215],[-0.008671142655,-0.080126857477],[0.012310982779,0.030036937399],[0.083391499063,-0.023289516749]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"0aad042ca0979d7eb4be","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.784460080645,1.370183036966],[2.035339275689,-0.574523009253],[-1.499135213426,0.43571851315],[-0.120885279833,-0.683993654357],[1.26067514712,1.789139266849],[-0.91085224844,-1.140134445474]],\"p1\":[[-1.781808293244,1.363104754035],[2.039701415543,-0.564385476496],[-1.494757794083,0.443580138162],[-0.112444737901,-0.692609220757],[1.266652751812,1.798912023522],[-0.904037342524,-1.147607634472]],\"v0\":[[0.018095927851,-0.045112824552],[0.035257569577,0.082367111454],[0.042052489833,0.052754156964],[0.08429847504,-0.063903019707],[0.049180920246,0.084776380112],[0.042984610265,-0.072507836667]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[-1.784460080645,1.370183036966],[2.035339275689,-0.574523009253],[-1.499135213426,0.43571851315],[-0.120885279833,-0.683993654357],[1.26067514712,1.789139266849],[-0.91085224844,-1.140134445474]],\"p1\":[[-1.781808293244,1.363104754035],[2.039701415543,-0.564385476496],[-1.494757794083,0.443580138162],[-0.112444737901,-0.692609220757],[1.266652751812,1.798912023522],[-0.904037342524,-1.147607634472]],\"v0\":[[0.018095927851,-0.045112824552],[0.035257569577,0.082367111454],[0.042052489833,0.052754156964],[0.08429847504,-0.063903019707],[0.049180920246,0.084776380112],[0.042984610265,-0.072507836667]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-1.784460080645,1.370183036966],[2.035339275689,-0.574523009253],[-1.499135213426,0.43571851315],[-0.120885279833,-0.683993654357],[1.26067514712,1.789139266849],[-0.91085224844,-1.140134445474]],\"p1\":[[-1.781808293244,1.363104754035],[2.039701415543,-0.564385476496],[-1.494757794083,0.443580138162],[-0.112444737901,-0.692609220757],[1.266652751812,1.798912023522],[-0.904037342524,-1.147607634472]],\"v0\":[[0.018095927851,-0.045112824552],[0.035257569577,0.082367111454],[0.042052489833,0.052754156964],[0.08429847504,-0.063903019707],[0.049180920246,0.084776380112],[0.042984610265,-0.072507836667]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"5ddf73ae1779ad92a633","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[2.094492204398,-1.571965918941],[-0.081585312408,-1.621650038004],[1.813810011635,-0.863247721001],[1.49170950541,1.49722850084],[-1.23559314541,1.473093513111],[-1.788488072967,1.692688370128]],\"p1\":[[2.095272143553,-1.563601042408],[-0.085516514126,-1.620012806473],[1.81325947561,-0.857572372947],[1.489687085924,1.498415205806],[-1.237153960467,1.481881471181],[-1.776036777594,1.697984582606]],\"v0\":[[0.02320684465,0.0539584034],[-0.040669385579,0.007066111687],[0.000183066831,0.068112205472],[-0.026619468411,-0.00401088343],[0.005693329912,0.073696192635],[0.081257797928,0.059080733827]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[2.094492204398,-1.571965918941],[-0.081585312408,-1.621650038004],[1.813810011635,-0.863247721001],[1.49170950541,1.49722850084],[-1.23559314541,1.473093513111],[-1.788488072967,1.692688370128]],\"p1\":[[2.095272143553,-1.563601042408],[-0.085516514126,-1.620012806473],[1.81325947561,-0.857572372947],[1.489687085924,1.498415205806],[-1.237153960467,1.481881471181],[-1.776036777594,1.697984582606]],\"v0\":[[0.02320684465,0.0539584034],[-0.040669385579,0.007066111687],[0.000183066831,0.068112205472],[-0.026619468411,-0.00401088343],[0.005693329912,0.073696192635],[0.081257797928,0.059080733827]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[2.094492204398,-1.571965918941],[-0.081585312408,-1.621650038004],[1.813810011635,-0.863247721001],[1.49170950541,1.49722850084],[-1.23559314541,1.473093513111],[-1.788488072967,1.692688370128]],\"p1\":[[2.095272143553,-1.563601042408],[-0.085516514126,-1.620012806473],[1.81325947561,-0.857572372947],[1.489687085924,1.498415205806],[-1.237153960467,1.481881471181],[-1.776036777594,1.697984582606]],\"v0\":[[0.02320684465,0.0539584034],[-0.040669385579,0.007066111687],[0.000183066831,0.068112205472],[-0.026619468411,-0.00401088343],[0.005693329912,0.073696192635],[0.081257797928,0.059080733827]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"60d5257130e4852d0fee","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.040275819926,-0.642447773],[0.575916100278,2.029060297962],[1.08877461214,-0.516774349186],[-1.719758399775,2.013509052123],[-0.270506464138,-1.885915329065],[-2.016295424923,-1.851863782632]],\"p1\":[[0.029504828684,-0.646692947914],[0.582286820845,2.038724710704],[1.095165821923,-0.508299401208],[-1.713099526327,2.014742463365],[-0.26898692578,-1.889804265168],[-2.008477456855,-1.850433103987]],\"v0\":[[-0.082284761254,-0.040335434811],[0.049871467929,0.075140173949],[0.036196688453,0.068703711181],[0.059932132311,0.006720999959],[0.01263539134,-0.019750369735],[0.073543406079,0.015098749369]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[0.040275819926,-0.642447773],[0.575916100278,2.029060297962],[1.08877461214,-0.516774349186],[-1.719758399775,2.013509052123],[-0.270506464138,-1.885915329065],[-2.016295424923,-1.851863782632]],\"p1\":[[0.029504828684,-0.646692947914],[0.582286820845,2.038724710704],[1.095165821923,-0.508299401208],[-1.713099526327,2.014742463365],[-0.26898692578,-1.889804265168],[-2.008477456855,-1.850433103987]],\"v0\":[[-0.082284761254,-0.040335434811],[0.049871467929,0.075140173949],[0.036196688453,0.068703711181],[0.059932132311,0.006720999959],[0.01263539134,-0.019750369735],[0.073543406079,0.015098749369]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[0.040275819926,-0.642447773],[0.575916100278,2.029060297962],[1.08877461214,-0.516774349186],[-1.719758399775,2.013509052123],[-0.270506464138,-1.885915329065],[-2.016295424923,-1.851863782632]],\"p1\":[[0.029504828684,-0.646692947914],[0.582286820845,2.038724710704],[1.095165821923,-0.508299401208],[-1.713099526327,2.014742463365],[-0.26898692578,-1.889804265168],[-2.008477456855,-1.850433103987]],\"v0\":[[-0.082284761254,-0.040335434811],[0.049871467929,0.075140173949],[0.036196688453,0.068703711181],[0.059932132311,0.006720999959],[0.01263539134,-0.019750369735],[0.073543406079,0.015098749369]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"968691b52eea5c79b45e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.402006348628,-0.414027976591],[1.530691962828,0.954239045518],[0.379863905519,0.550647412641],[1.279837451273,1.570857033647],[-0.476557802089,-0.514462824139],[-1.352419899889,0.755017699262]],\"p1\":[[-1.404734010762,-0.4185777634],[1.519833649487,0.965335015848],[0.379349899311,0.543767619355],[1.28747633545,1.556879662691],[-0.472502858377,-0.520960393852],[-1.35575330375,0.749535715211]],\"v0\":[[-0.051569883059,-0.056043818736],[-0.058558549949,0.083401879241],[-0.001252633589,-0.058496157694],[0.07484167723,-0.082073749642],[0.039195902779,-0.078758933607],[-0.05048616054,-0.027117006945]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[-1.402006348628,-0.414027976591],[1.530691962828,0.954239045518],[0.379863905519,0.550647412641],[1.279837451273,1.570857033647],[-0.476557802089,-0.514462824139],[-1.352419899889,0.755017699262]],\"p1\":[[-1.404734010762,-0.4185777634],[1.519833649487,0.965335015848],[0.379349899311,0.543767619355],[1.28747633545,1.556879662691],[-0.472502858377,-0.520960393852],[-1.35575330375,0.749535715211]],\"v0\":[[-0.051569883059,-0.056043818736],[-0.058558549949,0.083401879241],[-0.001252633589,-0.058496157694],[0.07484167723,-0.082073749642],[0.039195902779,-0.078758933607],[-0.05048616054,-0.027117006945]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-1.402006348628,-0.414027976591],[1.530691962828,0.954239045518],[0.379863905519,0.550647412641],[1.279837451273,1.570857033647],[-0.476557802089,-0.514462824139],[-1.352419899889,0.755017699262]],\"p1\":[[-1.404734010762,-0.4185777634],[1.519833649487,0.965335015848],[0.379349899311,0.543767619355],[1.28747633545,1.556879662691],[-0.472502858377,-0.520960393852],[-1.35575330375,0.749535715211]],\"v0\":[[-0.051569883059,-0.056043818736],[-0.058558549949,0.083401879241],[-0.001252633589,-0.058496157694],[0.07484167723,-0.082073749642],[0.039195902779,-0.078758933607],[-0.05048616054,-0.027117006945]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"6f442d47b4c649af931d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.955424641976,1.043354247144],[0.598721185061,-1.360704200954],[-1.919175980733,-0.719717376998],[-0.651977447933,-0.259024791479],[0.634888573513,0.183361706535],[1.892025968883,-2.031254459315]],\"p1\":[[0.961639098775,1.035546911307],[0.591730614213,-1.355315927955],[-1.930008898069,-0.712060792181],[-0.651283901847,-0.265727625556],[0.634466334058,0.174584294979],[1.884487436884,-2.030568793699]],\"v0\":[[0.042595289767,-0.086444766803],[-0.057770579487,0.054049973136],[-0.077283896345,0.066891907969],[0.013332178825,-0.058132266252],[-0.00595119499,-0.069146529098],[-0.072223937379,0.013139530732]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,0,1],\"p0\":[[0.955424641976,1.043354247144],[0.598721185061,-1.360704200954],[-1.919175980733,-0.719717376998],[-0.651977447933,-0.259024791479],[0.634888573513,0.183361706535],[1.892025968883,-2.031254459315]],\"p1\":[[0.961639098775,1.035546911307],[0.591730614213,-1.355315927955],[-1.930008898069,-0.712060792181],[-0.651283901847,-0.265727625556],[0.634466334058,0.174584294979],[1.884487436884,-2.030568793699]],\"v0\":[[0.042595289767,-0.086444766803],[-0.057770579487,0.054049973136],[-0.077283896345,0.066891907969],[0.013332178825,-0.058132266252],[-0.00595119499,-0.069146529098],[-0.072223937379,0.013139530732]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[0.955424641976,1.043354247144],[0.598721185061,-1.360704200954],[-1.919175980733,-0.719717376998],[-0.651977447933,-0.259024791479],[0.634888573513,0.183361706535],[1.892025968883,-2.031254459315]],\"p1\":[[0.961639098775,1.035546911307],[0.591730614213,-1.355315927955],[-1.930008898069,-0.712060792181],[-0.651283901847,-0.265727625556],[0.634466334058,0.174584294979],[1.884487436884,-2.030568793699]],\"v0\":[[0.042595289767,-0.086444766803],[-0.057770579487,0.054049973136],[-0.077283896345,0.066891907969],[0.013332178825,-0.058132266252],[-0.00595119499,-0.069146529098],[-0.072223937379,0.013139530732]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"9499cfb21bc588ff3f4b","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.361300956832,-0.29684367433],[-0.529874982214,-1.025470807813],[0.831759008796,-1.085422933233],[-2.035451653934,1.239400892387],[-1.006096328726,1.378556868839],[1.741282814805,-0.68686070166]],\"p1\":[[0.368739832307,-0.287285276266],[-0.529485506797,-1.02332050005],[0.83150499457,-1.08136250844],[-2.039749103852,1.249067578095],[-0.996840480902,1.375172152946],[1.735632100903,-0.687537617972]],\"v0\":[[0.054508557122,0.084548580662],[0.015019232413,0.02287823275],[0.008205408598,0.028311532431],[-0.023912087658,0.081538827749],[0.066410445952,-0.030569231454],[-0.06288138418,-0.008589741111]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[0.361300956832,-0.29684367433],[-0.529874982214,-1.025470807813],[0.831759008796,-1.085422933233],[-2.035451653934,1.239400892387],[-1.006096328726,1.378556868839],[1.741282814805,-0.68686070166]],\"p1\":[[0.368739832307,-0.287285276266],[-0.529485506797,-1.02332050005],[0.83150499457,-1.08136250844],[-2.039749103852,1.249067578095],[-0.996840480902,1.375172152946],[1.735632100903,-0.687537617972]],\"v0\":[[0.054508557122,0.084548580662],[0.015019232413,0.02287823275],[0.008205408598,0.028311532431],[-0.023912087658,0.081538827749],[0.066410445952,-0.030569231454],[-0.06288138418,-0.008589741111]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[0.361300956832,-0.29684367433],[-0.529874982214,-1.025470807813],[0.831759008796,-1.085422933233],[-2.035451653934,1.239400892387],[-1.006096328726,1.378556868839],[1.741282814805,-0.68686070166]],\"p1\":[[0.368739832307,-0.287285276266],[-0.529485506797,-1.02332050005],[0.83150499457,-1.08136250844],[-2.039749103852,1.249067578095],[-0.996840480902,1.375172152946],[1.735632100903,-0.687537617972]],\"v0\":[[0.054508557122,0.084548580662],[0.015019232413,0.02287823275],[0.008205408598,0.028311532431],[-0.023912087658,0.081538827749],[0.066410445952,-0.030569231454],[-0.06288138418,-0.008589741111]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"4129bcaaa9c5a122d760","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.007108292285,1.890100817736],[-0.784801781551,-1.629000012725],[2.159868325506,-1.333626841519],[0.280501972014,0.329424541158],[1.362047366725,-0.833649709814],[-0.943277674024,1.200971237919]],\"p1\":[[-0.004298164392,1.883697498557],[-0.779267167581,-1.625146396056],[2.168106834109,-1.33047411109],[0.287622520711,0.334726773551],[1.35480412514,-0.845159848614],[-0.934235965741,1.190110217905]],\"v0\":[[0.014261237585,-0.052254015817],[0.048283087181,0.032549658367],[0.083630993556,0.018304143165],[0.066160004997,0.029966232293],[-0.077755180515,-0.087164026741],[0.077938739377,-0.078617812113]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[-0.007108292285,1.890100817736],[-0.784801781551,-1.629000012725],[2.159868325506,-1.333626841519],[0.280501972014,0.329424541158],[1.362047366725,-0.833649709814],[-0.943277674024,1.200971237919]],\"p1\":[[-0.004298164392,1.883697498557],[-0.779267167581,-1.625146396056],[2.168106834109,-1.33047411109],[0.287622520711,0.334726773551],[1.35480412514,-0.845159848614],[-0.934235965741,1.190110217905]],\"v0\":[[0.014261237585,-0.052254015817],[0.048283087181,0.032549658367],[0.083630993556,0.018304143165],[0.066160004997,0.029966232293],[-0.077755180515,-0.087164026741],[0.077938739377,-0.078617812113]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[-0.007108292285,1.890100817736],[-0.784801781551,-1.629000012725],[2.159868325506,-1.333626841519],[0.280501972014,0.329424541158],[1.362047366725,-0.833649709814],[-0.943277674024,1.200971237919]],\"p1\":[[-0.004298164392,1.883697498557],[-0.779267167581,-1.625146396056],[2.168106834109,-1.33047411109],[0.287622520711,0.334726773551],[1.35480412514,-0.845159848614],[-0.934235965741,1.190110217905]],\"v0\":[[0.014261237585,-0.052254015817],[0.048283087181,0.032549658367],[0.083630993556,0.018304143165],[0.066160004997,0.029966232293],[-0.077755180515,-0.087164026741],[0.077938739377,-0.078617812113]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"650a1a2f81423a882c2c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.321910495278,-2.016877825836],[-0.014288155851,1.101905976554],[-0.773631922832,1.860571824195],[1.613192973993,1.281270155698],[-1.47347886757,1.574384651001],[-0.012527041462,-0.475635280283]],\"p1\":[[1.310450611171,-2.013763391395],[-0.017663250656,1.101550011885],[-0.777110267489,1.863204415319],[1.60625945186,1.281424881772],[-1.478462143304,1.576525110456],[-0.011162461765,-0.473281081087]],\"v0\":[[-0.089248899826,0.012825559668],[-0.0388124725,0.01527809499],[-0.027275630403,-0.003731694263],[-0.04577913736,0.01188213951],[-0.043675624247,0.034965901668],[0.00424558318,0.012450378601]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[1.321910495278,-2.016877825836],[-0.014288155851,1.101905976554],[-0.773631922832,1.860571824195],[1.613192973993,1.281270155698],[-1.47347886757,1.574384651001],[-0.012527041462,-0.475635280283]],\"p1\":[[1.310450611171,-2.013763391395],[-0.017663250656,1.101550011885],[-0.777110267489,1.863204415319],[1.60625945186,1.281424881772],[-1.478462143304,1.576525110456],[-0.011162461765,-0.473281081087]],\"v0\":[[-0.089248899826,0.012825559668],[-0.0388124725,0.01527809499],[-0.027275630403,-0.003731694263],[-0.04577913736,0.01188213951],[-0.043675624247,0.034965901668],[0.00424558318,0.012450378601]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[1.321910495278,-2.016877825836],[-0.014288155851,1.101905976554],[-0.773631922832,1.860571824195],[1.613192973993,1.281270155698],[-1.47347886757,1.574384651001],[-0.012527041462,-0.475635280283]],\"p1\":[[1.310450611171,-2.013763391395],[-0.017663250656,1.101550011885],[-0.777110267489,1.863204415319],[1.60625945186,1.281424881772],[-1.478462143304,1.576525110456],[-0.011162461765,-0.473281081087]],\"v0\":[[-0.089248899826,0.012825559668],[-0.0388124725,0.01527809499],[-0.027275630403,-0.003731694263],[-0.04577913736,0.01188213951],[-0.043675624247,0.034965901668],[0.00424558318,0.012450378601]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"e2e25fdfabb112143a19","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.705956358122,-1.573022247841],[1.309797997485,1.862858885839],[2.067773351154,1.248716035407],[-0.215805698161,-1.980598328031],[-1.277977846562,1.058824906094],[-0.521034602226,1.723597178]],\"p1\":[[-0.711125485862,-1.580418482635],[1.308179423746,1.863720121514],[2.072950554831,1.251964402973],[-0.215047775252,-1.979948957857],[-1.282587511947,1.056594132628],[-0.516123785517,1.721776608343]],\"v0\":[[-0.018537782456,-0.076608629109],[-0.00924852375,-0.004209106651],[0.02762050809,0.034896778972],[-0.017169609902,0.028916236126],[-0.024365960698,-0.012367214553],[0.037106172307,-0.026366435633]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,0],\"p0\":[[-0.705956358122,-1.573022247841],[1.309797997485,1.862858885839],[2.067773351154,1.248716035407],[-0.215805698161,-1.980598328031],[-1.277977846562,1.058824906094],[-0.521034602226,1.723597178]],\"p1\":[[-0.711125485862,-1.580418482635],[1.308179423746,1.863720121514],[2.072950554831,1.251964402973],[-0.215047775252,-1.979948957857],[-1.282587511947,1.056594132628],[-0.516123785517,1.721776608343]],\"v0\":[[-0.018537782456,-0.076608629109],[-0.00924852375,-0.004209106651],[0.02762050809,0.034896778972],[-0.017169609902,0.028916236126],[-0.024365960698,-0.012367214553],[0.037106172307,-0.026366435633]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[-0.705956358122,-1.573022247841],[1.309797997485,1.862858885839],[2.067773351154,1.248716035407],[-0.215805698161,-1.980598328031],[-1.277977846562,1.058824906094],[-0.521034602226,1.723597178]],\"p1\":[[-0.711125485862,-1.580418482635],[1.308179423746,1.863720121514],[2.072950554831,1.251964402973],[-0.215047775252,-1.979948957857],[-1.282587511947,1.056594132628],[-0.516123785517,1.721776608343]],\"v0\":[[-0.018537782456,-0.076608629109],[-0.00924852375,-0.004209106651],[0.02762050809,0.034896778972],[-0.017169609902,0.028916236126],[-0.024365960698,-0.012367214553],[0.037106172307,-0.026366435633]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"81edc0fa2d27aaab8849","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.17826981041,-1.481835245915],[-1.741337185833,-0.987617797713],[-0.004998197116,1.892954349216],[0.432651186688,-0.031551330606],[0.627822821414,-1.144435662664],[2.079018695862,1.896297510714]],\"p1\":[[-0.176409690869,-1.469893824382],[-1.73416780179,-0.992747502007],[-0.004184956079,1.897901023108],[0.4351848647,-0.038011214495],[0.617357699336,-1.145178195075],[2.07808615063,1.893500336439]],\"v0\":[[0.003567935548,0.075380425893],[0.035351000549,-0.047642996687],[-0.000191343747,0.060670202999],[0.025964028763,-0.042231214641],[-0.065474589522,-0.021101912786],[0.008939262777,-0.010417833483]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,0],\"p0\":[[-0.17826981041,-1.481835245915],[-1.741337185833,-0.987617797713],[-0.004998197116,1.892954349216],[0.432651186688,-0.031551330606],[0.627822821414,-1.144435662664],[2.079018695862,1.896297510714]],\"p1\":[[-0.176409690869,-1.469893824382],[-1.73416780179,-0.992747502007],[-0.004184956079,1.897901023108],[0.4351848647,-0.038011214495],[0.617357699336,-1.145178195075],[2.07808615063,1.893500336439]],\"v0\":[[0.003567935548,0.075380425893],[0.035351000549,-0.047642996687],[-0.000191343747,0.060670202999],[0.025964028763,-0.042231214641],[-0.065474589522,-0.021101912786],[0.008939262777,-0.010417833483]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-0.17826981041,-1.481835245915],[-1.741337185833,-0.987617797713],[-0.004998197116,1.892954349216],[0.432651186688,-0.031551330606],[0.627822821414,-1.144435662664],[2.079018695862,1.896297510714]],\"p1\":[[-0.176409690869,-1.469893824382],[-1.73416780179,-0.992747502007],[-0.004184956079,1.897901023108],[0.4351848647,-0.038011214495],[0.617357699336,-1.145178195075],[2.07808615063,1.893500336439]],\"v0\":[[0.003567935548,0.075380425893],[0.035351000549,-0.047642996687],[-0.000191343747,0.060670202999],[0.025964028763,-0.042231214641],[-0.065474589522,-0.021101912786],[0.008939262777,-0.010417833483]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"1b6ae939ab1e5ed7596d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.872621881247,-1.924222616236],[1.235051401573,-0.605745705032],[1.489183428918,1.739200698618],[0.557702004497,-1.867185381897],[-0.492350836208,0.840988980246],[1.972477825649,-0.734452478538]],\"p1\":[[-1.868046667729,-1.933434019173],[1.22762261909,-0.614579898744],[1.481728018049,1.73354396854],[0.54790379263,-1.860806506167],[-0.494882475274,0.83105947357],[1.976259003563,-0.734444796392]],\"v0\":[[0.043610532761,-0.07417707121],[-0.045440966898,-0.079690493249],[-0.065359949554,-0.054562139545],[-0.077813787525,0.064395247877],[-0.014855036884,-0.0871299609],[0.00271210101,0.004120454309]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-1.872621881247,-1.924222616236],[1.235051401573,-0.605745705032],[1.489183428918,1.739200698618],[0.557702004497,-1.867185381897],[-0.492350836208,0.840988980246],[1.972477825649,-0.734452478538]],\"p1\":[[-1.868046667729,-1.933434019173],[1.22762261909,-0.614579898744],[1.481728018049,1.73354396854],[0.54790379263,-1.860806506167],[-0.494882475274,0.83105947357],[1.976259003563,-0.734444796392]],\"v0\":[[0.043610532761,-0.07417707121],[-0.045440966898,-0.079690493249],[-0.065359949554,-0.054562139545],[-0.077813787525,0.064395247877],[-0.014855036884,-0.0871299609],[0.00271210101,0.004120454309]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-1.872621881247,-1.924222616236],[1.235051401573,-0.605745705032],[1.489183428918,1.739200698618],[0.557702004497,-1.867185381897],[-0.492350836208,0.840988980246],[1.972477825649,-0.734452478538]],\"p1\":[[-1.868046667729,-1.933434019173],[1.22762261909,-0.614579898744],[1.481728018049,1.73354396854],[0.54790379263,-1.860806506167],[-0.494882475274,0.83105947357],[1.976259003563,-0.734444796392]],\"v0\":[[0.043610532761,-0.07417707121],[-0.045440966898,-0.079690493249],[-0.065359949554,-0.054562139545],[-0.077813787525,0.064395247877],[-0.014855036884,-0.0871299609],[0.00271210101,0.004120454309]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"25e256f73fb3544868e3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.953908879497,-0.106206032639],[1.504762672631,-1.101737034398],[0.734534362887,-1.473282283871],[0.267565810519,1.429201606192],[-1.97048876995,-0.511984508582],[-1.799649762537,1.349445551141]],\"p1\":[[-0.952891027551,-0.103859513885],[1.507496041022,-1.099668702956],[0.735570967234,-1.465553030653],[0.254858185572,1.421012252979],[-1.971976353388,-0.505468413533],[-1.807895267472,1.347285825679]],\"v0\":[[0.030141008906,0.005115836843],[0.023105429696,0.033501953519],[-0.018879185926,0.070937076754],[-0.087793673118,-0.068498148047],[-0.019855399436,0.036478041215],[-0.073825585418,-0.008275428714]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-0.953908879497,-0.106206032639],[1.504762672631,-1.101737034398],[0.734534362887,-1.473282283871],[0.267565810519,1.429201606192],[-1.97048876995,-0.511984508582],[-1.799649762537,1.349445551141]],\"p1\":[[-0.952891027551,-0.103859513885],[1.507496041022,-1.099668702956],[0.735570967234,-1.465553030653],[0.254858185572,1.421012252979],[-1.971976353388,-0.505468413533],[-1.807895267472,1.347285825679]],\"v0\":[[0.030141008906,0.005115836843],[0.023105429696,0.033501953519],[-0.018879185926,0.070937076754],[-0.087793673118,-0.068498148047],[-0.019855399436,0.036478041215],[-0.073825585418,-0.008275428714]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[-0.953908879497,-0.106206032639],[1.504762672631,-1.101737034398],[0.734534362887,-1.473282283871],[0.267565810519,1.429201606192],[-1.97048876995,-0.511984508582],[-1.799649762537,1.349445551141]],\"p1\":[[-0.952891027551,-0.103859513885],[1.507496041022,-1.099668702956],[0.735570967234,-1.465553030653],[0.254858185572,1.421012252979],[-1.971976353388,-0.505468413533],[-1.807895267472,1.347285825679]],\"v0\":[[0.030141008906,0.005115836843],[0.023105429696,0.033501953519],[-0.018879185926,0.070937076754],[-0.087793673118,-0.068498148047],[-0.019855399436,0.036478041215],[-0.073825585418,-0.008275428714]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,0]}"},{"episode_id":"5d38a0a3370ecd5c5847","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.226342540049,1.276796504219],[1.676966120103,-0.844949766374],[-1.83551504698,0.703563488494],[1.088192115322,0.234744468818],[0.59350424223,1.691137005811],[1.331599892105,1.159528769329]],\"p1\":[[-1.216276629608,1.27862641196],[1.681404762386,-0.853462477088],[-1.842471373427,0.708330179375],[1.081650706308,0.235830911003],[0.584459596209,1.696108133816],[1.337981748393,1.152670782292]],\"v0\":[[0.061036262837,0.003137259072],[0.033083333216,-0.058885015929],[-0.049997530421,0.052265035444],[-0.044602602957,0.019802432182],[-0.053778880658,0.026376036845],[0.040459647391,-0.065333488776]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,1],\"p0\":[[-1.226342540049,1.276796504219],[1.676966120103,-0.844949766374],[-1.83551504698,0.703563488494],[1.088192115322,0.234744468818],[0.59350424223,1.691137005811],[1.331599892105,1.159528769329]],\"p1\":[[-1.216276629608,1.27862641196],[1.681404762386,-0.853462477088],[-1.842471373427,0.708330179375],[1.081650706308,0.235830911003],[0.584459596209,1.696108133816],[1.337981748393,1.152670782292]],\"v0\":[[0.061036262837,0.003137259072],[0.033083333216,-0.058885015929],[-0.049997530421,0.052265035444],[-0.044602602957,0.019802432182],[-0.053778880658,0.026376036845],[0.040459647391,-0.065333488776]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-1.226342540049,1.276796504219],[1.676966120103,-0.844949766374],[-1.83551504698,0.703563488494],[1.088192115322,0.234744468818],[0.59350424223,1.691137005811],[1.331599892105,1.159528769329]],\"p1\":[[-1.216276629608,1.27862641196],[1.681404762386,-0.853462477088],[-1.842471373427,0.708330179375],[1.081650706308,0.235830911003],[0.584459596209,1.696108133816],[1.337981748393,1.152670782292]],\"v0\":[[0.061036262837,0.003137259072],[0.033083333216,-0.058885015929],[-0.049997530421,0.052265035444],[-0.044602602957,0.019802432182],[-0.053778880658,0.026376036845],[0.040459647391,-0.065333488776]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"5252ebce35b5d94d6a38","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.433781127584,-0.333316913409],[-2.002259468241,0.411082816662],[0.373515633564,-1.421540122421],[0.979993485313,0.894727978358],[2.099431569804,-1.555224807981],[1.624762963872,1.19564717896]],\"p1\":[[1.431627191657,-0.336291475075],[-2.010104000872,0.403976069988],[0.378210440018,-1.432432381698],[0.984653836633,0.897147054212],[2.097964061304,-1.558021076024],[1.621707862546,1.201175554091]],\"v0\":[[-0.030144870969,-0.022457116172],[-0.067529335349,-0.059968449814],[0.05064010024,-0.083114197181],[0.05859119385,0.018232135238],[-0.014054971612,-0.033158791135],[-0.040551454585,0.048613213448]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,1,0],\"p0\":[[1.433781127584,-0.333316913409],[-2.002259468241,0.411082816662],[0.373515633564,-1.421540122421],[0.979993485313,0.894727978358],[2.099431569804,-1.555224807981],[1.624762963872,1.19564717896]],\"p1\":[[1.431627191657,-0.336291475075],[-2.010104000872,0.403976069988],[0.378210440018,-1.432432381698],[0.984653836633,0.897147054212],[2.097964061304,-1.558021076024],[1.621707862546,1.201175554091]],\"v0\":[[-0.030144870969,-0.022457116172],[-0.067529335349,-0.059968449814],[0.05064010024,-0.083114197181],[0.05859119385,0.018232135238],[-0.014054971612,-0.033158791135],[-0.040551454585,0.048613213448]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[1.433781127584,-0.333316913409],[-2.002259468241,0.411082816662],[0.373515633564,-1.421540122421],[0.979993485313,0.894727978358],[2.099431569804,-1.555224807981],[1.624762963872,1.19564717896]],\"p1\":[[1.431627191657,-0.336291475075],[-2.010104000872,0.403976069988],[0.378210440018,-1.432432381698],[0.984653836633,0.897147054212],[2.097964061304,-1.558021076024],[1.621707862546,1.201175554091]],\"v0\":[[-0.030144870969,-0.022457116172],[-0.067529335349,-0.059968449814],[0.05064010024,-0.083114197181],[0.05859119385,0.018232135238],[-0.014054971612,-0.033158791135],[-0.040551454585,0.048613213448]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"4d6fa409f8de3c4d687c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.935250271485,-1.735652623363],[0.199066406123,0.128212916984],[-0.255532719037,0.743807802214],[1.798407335725,1.503852890822],[-1.003894090887,1.353628520778],[-0.028970872436,-1.865948580279]],\"p1\":[[-0.932845828234,-1.735584879399],[0.208945966581,0.127311582433],[-0.251829049757,0.748675065147],[1.788785793884,1.499790628195],[-1.009434552895,1.360718996806],[-0.030672726015,-1.872864100021]],\"v0\":[[0.038525416661,0.004989996108],[0.066266248049,0.009784245607],[0.035236996579,0.028719938466],[-0.088190980763,-0.03854085673],[-0.02939798977,0.04395321559],[-0.029741227753,-0.047686822333]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-0.935250271485,-1.735652623363],[0.199066406123,0.128212916984],[-0.255532719037,0.743807802214],[1.798407335725,1.503852890822],[-1.003894090887,1.353628520778],[-0.028970872436,-1.865948580279]],\"p1\":[[-0.932845828234,-1.735584879399],[0.208945966581,0.127311582433],[-0.251829049757,0.748675065147],[1.788785793884,1.499790628195],[-1.009434552895,1.360718996806],[-0.030672726015,-1.872864100021]],\"v0\":[[0.038525416661,0.004989996108],[0.066266248049,0.009784245607],[0.035236996579,0.028719938466],[-0.088190980763,-0.03854085673],[-0.02939798977,0.04395321559],[-0.029741227753,-0.047686822333]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-0.935250271485,-1.735652623363],[0.199066406123,0.128212916984],[-0.255532719037,0.743807802214],[1.798407335725,1.503852890822],[-1.003894090887,1.353628520778],[-0.028970872436,-1.865948580279]],\"p1\":[[-0.932845828234,-1.735584879399],[0.208945966581,0.127311582433],[-0.251829049757,0.748675065147],[1.788785793884,1.499790628195],[-1.009434552895,1.360718996806],[-0.030672726015,-1.872864100021]],\"v0\":[[0.038525416661,0.004989996108],[0.066266248049,0.009784245607],[0.035236996579,0.028719938466],[-0.088190980763,-0.03854085673],[-0.02939798977,0.04395321559],[-0.029741227753,-0.047686822333]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"b6bd67d62a56ab9b6ef9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.116523831958,1.905695945607],[1.923219361353,-0.818787456378],[0.924653152479,-0.686824028555],[-1.04657640102,1.604410226716],[-0.436930626848,-1.220351279523],[-0.635091234851,0.866412643754]],\"p1\":[[-0.121566842208,1.910620061162],[1.930386682153,-0.828466377361],[0.925475782034,-0.692684442636],[-1.047364685428,1.598686596704],[-0.441542083495,-1.22414963152],[-0.634962272831,0.866322671228]],\"v0\":[[-0.027200061705,0.068858181406],[0.088552586096,-0.089779507202],[0.011833883047,-0.056436034563],[-0.034921891747,-0.027180668211],[-0.052086468463,-0.05232833716],[-0.005543371638,-0.011693417958]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[-0.116523831958,1.905695945607],[1.923219361353,-0.818787456378],[0.924653152479,-0.686824028555],[-1.04657640102,1.604410226716],[-0.436930626848,-1.220351279523],[-0.635091234851,0.866412643754]],\"p1\":[[-0.121566842208,1.910620061162],[1.930386682153,-0.828466377361],[0.925475782034,-0.692684442636],[-1.047364685428,1.598686596704],[-0.441542083495,-1.22414963152],[-0.634962272831,0.866322671228]],\"v0\":[[-0.027200061705,0.068858181406],[0.088552586096,-0.089779507202],[0.011833883047,-0.056436034563],[-0.034921891747,-0.027180668211],[-0.052086468463,-0.05232833716],[-0.005543371638,-0.011693417958]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-0.116523831958,1.905695945607],[1.923219361353,-0.818787456378],[0.924653152479,-0.686824028555],[-1.04657640102,1.604410226716],[-0.436930626848,-1.220351279523],[-0.635091234851,0.866412643754]],\"p1\":[[-0.121566842208,1.910620061162],[1.930386682153,-0.828466377361],[0.925475782034,-0.692684442636],[-1.047364685428,1.598686596704],[-0.441542083495,-1.22414963152],[-0.634962272831,0.866322671228]],\"v0\":[[-0.027200061705,0.068858181406],[0.088552586096,-0.089779507202],[0.011833883047,-0.056436034563],[-0.034921891747,-0.027180668211],[-0.052086468463,-0.05232833716],[-0.005543371638,-0.011693417958]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"e3306530371ee84f8ee5","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.947642963749,1.752001403169],[1.358267485918,-0.008901878053],[-1.040564864953,-2.068286121059],[-1.078018685075,-0.533864488897],[-1.720134825436,-0.802439302551],[0.867276821847,0.525878398802]],\"p1\":[[-0.951150496504,1.749514980707],[1.364986773206,-0.018162102894],[-1.048353701339,-2.076812376137],[-1.070889168333,-0.540358082311],[-1.730701479666,-0.807801149776],[0.864560603905,0.522456233929]],\"v0\":[[-0.026182944767,-0.029016993244],[0.033448866436,-0.059970667152],[-0.066315830867,-0.056104857053],[0.040304545887,-0.065534755997],[-0.057213824313,-0.03756039175],[-0.013461123062,-0.048066567252]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[-0.947642963749,1.752001403169],[1.358267485918,-0.008901878053],[-1.040564864953,-2.068286121059],[-1.078018685075,-0.533864488897],[-1.720134825436,-0.802439302551],[0.867276821847,0.525878398802]],\"p1\":[[-0.951150496504,1.749514980707],[1.364986773206,-0.018162102894],[-1.048353701339,-2.076812376137],[-1.070889168333,-0.540358082311],[-1.730701479666,-0.807801149776],[0.864560603905,0.522456233929]],\"v0\":[[-0.026182944767,-0.029016993244],[0.033448866436,-0.059970667152],[-0.066315830867,-0.056104857053],[0.040304545887,-0.065534755997],[-0.057213824313,-0.03756039175],[-0.013461123062,-0.048066567252]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[-0.947642963749,1.752001403169],[1.358267485918,-0.008901878053],[-1.040564864953,-2.068286121059],[-1.078018685075,-0.533864488897],[-1.720134825436,-0.802439302551],[0.867276821847,0.525878398802]],\"p1\":[[-0.951150496504,1.749514980707],[1.364986773206,-0.018162102894],[-1.048353701339,-2.076812376137],[-1.070889168333,-0.540358082311],[-1.730701479666,-0.807801149776],[0.864560603905,0.522456233929]],\"v0\":[[-0.026182944767,-0.029016993244],[0.033448866436,-0.059970667152],[-0.066315830867,-0.056104857053],[0.040304545887,-0.065534755997],[-0.057213824313,-0.03756039175],[-0.013461123062,-0.048066567252]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,0]}"},{"episode_id":"75289416b42fbdcae542","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.780333993035,0.909985532796],[1.240795023912,2.127019849841],[0.203904766497,-1.52695961402],[1.767639185006,-1.408941597374],[0.248697587619,-0.159492599597],[-1.77529617732,-1.865125249599]],\"p1\":[[-1.788540134454,0.911773510002],[1.22924687658,2.128200692993],[0.198146123057,-1.534633619777],[1.771582822779,-1.403027611474],[0.243805647761,-0.158685156831],[-1.781419950303,-1.863429403443]],\"v0\":[[-0.072274648855,0.01592934926],[-0.088568932232,0.01144035111],[-0.065494280419,-0.048373179705],[0.02884201109,0.059884282443],[-0.028141218097,-0.012842205268],[-0.045904658654,0.004895480688]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-1.780333993035,0.909985532796],[1.240795023912,2.127019849841],[0.203904766497,-1.52695961402],[1.767639185006,-1.408941597374],[0.248697587619,-0.159492599597],[-1.77529617732,-1.865125249599]],\"p1\":[[-1.788540134454,0.911773510002],[1.22924687658,2.128200692993],[0.198146123057,-1.534633619777],[1.771582822779,-1.403027611474],[0.243805647761,-0.158685156831],[-1.781419950303,-1.863429403443]],\"v0\":[[-0.072274648855,0.01592934926],[-0.088568932232,0.01144035111],[-0.065494280419,-0.048373179705],[0.02884201109,0.059884282443],[-0.028141218097,-0.012842205268],[-0.045904658654,0.004895480688]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-1.780333993035,0.909985532796],[1.240795023912,2.127019849841],[0.203904766497,-1.52695961402],[1.767639185006,-1.408941597374],[0.248697587619,-0.159492599597],[-1.77529617732,-1.865125249599]],\"p1\":[[-1.788540134454,0.911773510002],[1.22924687658,2.128200692993],[0.198146123057,-1.534633619777],[1.771582822779,-1.403027611474],[0.243805647761,-0.158685156831],[-1.781419950303,-1.863429403443]],\"v0\":[[-0.072274648855,0.01592934926],[-0.088568932232,0.01144035111],[-0.065494280419,-0.048373179705],[0.02884201109,0.059884282443],[-0.028141218097,-0.012842205268],[-0.045904658654,0.004895480688]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"537248094846e13b750d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.164538291745,0.33855914947],[-1.629434491906,-1.657298117509],[0.0052882268,-1.149610154221],[-1.342840579258,0.033437710867],[1.098361739444,1.290397410496],[-0.623097253226,-1.597042969731]],\"p1\":[[-0.172457900224,0.340450148452],[-1.624356356416,-1.653400128539],[-0.007214134852,-1.158480851798],[-1.334610898429,0.033282716831],[1.091903383109,1.284627588461],[-0.62328326026,-1.59375834711]],\"v0\":[[-0.076678956006,0.009188346628],[0.049503880642,0.025890304681],[-0.086362643074,-0.05239056183],[0.078295366778,0.00610145341],[-0.048072439123,-0.043752494442],[-0.031339519052,0.007280425937]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-0.164538291745,0.33855914947],[-1.629434491906,-1.657298117509],[0.0052882268,-1.149610154221],[-1.342840579258,0.033437710867],[1.098361739444,1.290397410496],[-0.623097253226,-1.597042969731]],\"p1\":[[-0.172457900224,0.340450148452],[-1.624356356416,-1.653400128539],[-0.007214134852,-1.158480851798],[-1.334610898429,0.033282716831],[1.091903383109,1.284627588461],[-0.62328326026,-1.59375834711]],\"v0\":[[-0.076678956006,0.009188346628],[0.049503880642,0.025890304681],[-0.086362643074,-0.05239056183],[0.078295366778,0.00610145341],[-0.048072439123,-0.043752494442],[-0.031339519052,0.007280425937]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[-0.164538291745,0.33855914947],[-1.629434491906,-1.657298117509],[0.0052882268,-1.149610154221],[-1.342840579258,0.033437710867],[1.098361739444,1.290397410496],[-0.623097253226,-1.597042969731]],\"p1\":[[-0.172457900224,0.340450148452],[-1.624356356416,-1.653400128539],[-0.007214134852,-1.158480851798],[-1.334610898429,0.033282716831],[1.091903383109,1.284627588461],[-0.62328326026,-1.59375834711]],\"v0\":[[-0.076678956006,0.009188346628],[0.049503880642,0.025890304681],[-0.086362643074,-0.05239056183],[0.078295366778,0.00610145341],[-0.048072439123,-0.043752494442],[-0.031339519052,0.007280425937]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"cd6bccffeb142377b92e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.996095888633,0.078828725081],[-1.540434734462,-1.828868649428],[-1.531918584664,-0.612839449734],[-1.526401870755,0.828512122073],[-0.799820156534,-0.268400630061],[-0.599907581256,-1.194324260823]],\"p1\":[[-2.000212947681,0.075516514468],[-1.533837521467,-1.82576122712],[-1.523960402012,-0.60105418477],[-1.524270499362,0.830384594206],[-0.804929257971,-0.270706704353],[-0.596977493197,-1.199417178402]],\"v0\":[[-0.055257900933,-0.036153519068],[0.046691727204,0.050430871423],[0.070877260143,0.049457843078],[0.022754916906,0.036205350818],[-0.011047064192,-0.045803117093],[0.012570182669,-0.003687788144]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,1,0],\"p0\":[[-1.996095888633,0.078828725081],[-1.540434734462,-1.828868649428],[-1.531918584664,-0.612839449734],[-1.526401870755,0.828512122073],[-0.799820156534,-0.268400630061],[-0.599907581256,-1.194324260823]],\"p1\":[[-2.000212947681,0.075516514468],[-1.533837521467,-1.82576122712],[-1.523960402012,-0.60105418477],[-1.524270499362,0.830384594206],[-0.804929257971,-0.270706704353],[-0.596977493197,-1.199417178402]],\"v0\":[[-0.055257900933,-0.036153519068],[0.046691727204,0.050430871423],[0.070877260143,0.049457843078],[0.022754916906,0.036205350818],[-0.011047064192,-0.045803117093],[0.012570182669,-0.003687788144]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-1.996095888633,0.078828725081],[-1.540434734462,-1.828868649428],[-1.531918584664,-0.612839449734],[-1.526401870755,0.828512122073],[-0.799820156534,-0.268400630061],[-0.599907581256,-1.194324260823]],\"p1\":[[-2.000212947681,0.075516514468],[-1.533837521467,-1.82576122712],[-1.523960402012,-0.60105418477],[-1.524270499362,0.830384594206],[-0.804929257971,-0.270706704353],[-0.596977493197,-1.199417178402]],\"v0\":[[-0.055257900933,-0.036153519068],[0.046691727204,0.050430871423],[0.070877260143,0.049457843078],[0.022754916906,0.036205350818],[-0.011047064192,-0.045803117093],[0.012570182669,-0.003687788144]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"4fab368615af5bbd8fb0","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.641154536519,0.40320344251],[-0.51201409961,-0.682340927624],[0.859186648434,1.401634901767],[0.383922832676,-0.092824426782],[-1.236333183734,1.29561765643],[-2.007422172291,-1.530270474641]],\"p1\":[[1.636713032937,0.411253559928],[-0.505477665225,-0.680025739864],[0.850889033701,1.40398727559],[0.376075649623,-0.096148143734],[-1.228986954622,1.295547277519],[-2.005849708018,-1.537137358691]],\"v0\":[[-0.053868727036,0.07003907292],[0.062669687873,0.029560591488],[-0.07063048723,0.004673683323],[-0.070526276221,-0.024946507598],[0.068996666751,-0.007542478103],[0.020599355878,-0.051311869627]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,1],\"p0\":[[1.641154536519,0.40320344251],[-0.51201409961,-0.682340927624],[0.859186648434,1.401634901767],[0.383922832676,-0.092824426782],[-1.236333183734,1.29561765643],[-2.007422172291,-1.530270474641]],\"p1\":[[1.636713032937,0.411253559928],[-0.505477665225,-0.680025739864],[0.850889033701,1.40398727559],[0.376075649623,-0.096148143734],[-1.228986954622,1.295547277519],[-2.005849708018,-1.537137358691]],\"v0\":[[-0.053868727036,0.07003907292],[0.062669687873,0.029560591488],[-0.07063048723,0.004673683323],[-0.070526276221,-0.024946507598],[0.068996666751,-0.007542478103],[0.020599355878,-0.051311869627]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[1.641154536519,0.40320344251],[-0.51201409961,-0.682340927624],[0.859186648434,1.401634901767],[0.383922832676,-0.092824426782],[-1.236333183734,1.29561765643],[-2.007422172291,-1.530270474641]],\"p1\":[[1.636713032937,0.411253559928],[-0.505477665225,-0.680025739864],[0.850889033701,1.40398727559],[0.376075649623,-0.096148143734],[-1.228986954622,1.295547277519],[-2.005849708018,-1.537137358691]],\"v0\":[[-0.053868727036,0.07003907292],[0.062669687873,0.029560591488],[-0.07063048723,0.004673683323],[-0.070526276221,-0.024946507598],[0.068996666751,-0.007542478103],[0.020599355878,-0.051311869627]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"d1d845e5c842694d6159","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.429936329704,0.947485106638],[0.376734176491,0.429775688554],[0.992595917614,1.481789156708],[1.670886666887,-0.635130379624],[0.753666789186,2.070556624036],[-0.313549948118,1.87830675171]],\"p1\":[[-1.42917778115,0.958053419257],[0.36727957024,0.425166038309],[0.98252451079,1.476987254431],[1.671836824028,-0.631304171085],[0.744744642202,2.075305268361],[-0.321341505655,1.885268623888]],\"v0\":[[-0.022928153526,0.081906631713],[-0.081961082837,-0.06125027791],[-0.056876966368,-0.044814537592],[0.024493309485,0.010263330931],[-0.063955551806,0.076528915364],[-0.086529987451,0.076478313661]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-1.429936329704,0.947485106638],[0.376734176491,0.429775688554],[0.992595917614,1.481789156708],[1.670886666887,-0.635130379624],[0.753666789186,2.070556624036],[-0.313549948118,1.87830675171]],\"p1\":[[-1.42917778115,0.958053419257],[0.36727957024,0.425166038309],[0.98252451079,1.476987254431],[1.671836824028,-0.631304171085],[0.744744642202,2.075305268361],[-0.321341505655,1.885268623888]],\"v0\":[[-0.022928153526,0.081906631713],[-0.081961082837,-0.06125027791],[-0.056876966368,-0.044814537592],[0.024493309485,0.010263330931],[-0.063955551806,0.076528915364],[-0.086529987451,0.076478313661]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[-1.429936329704,0.947485106638],[0.376734176491,0.429775688554],[0.992595917614,1.481789156708],[1.670886666887,-0.635130379624],[0.753666789186,2.070556624036],[-0.313549948118,1.87830675171]],\"p1\":[[-1.42917778115,0.958053419257],[0.36727957024,0.425166038309],[0.98252451079,1.476987254431],[1.671836824028,-0.631304171085],[0.744744642202,2.075305268361],[-0.321341505655,1.885268623888]],\"v0\":[[-0.022928153526,0.081906631713],[-0.081961082837,-0.06125027791],[-0.056876966368,-0.044814537592],[0.024493309485,0.010263330931],[-0.063955551806,0.076528915364],[-0.086529987451,0.076478313661]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"47d7d57ec2b67032ed4a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.22903255559,2.138665289429],[-0.115831653381,0.838615126237],[1.803327419144,-0.464265026749],[-1.067241470791,2.018617821481],[0.406555709586,1.247279075109],[1.581866490744,0.249014203328]],\"p1\":[[-0.227818163909,2.143293190188],[-0.110704421319,0.845840160823],[1.800940265096,-0.468580979086],[-1.074368353039,2.025612526344],[0.415935530706,1.249002383272],[1.58297614766,0.256055543439]],\"v0\":[[0.001445678074,0.015997659691],[0.067210212279,0.087845608762],[-0.03231016534,-0.008387433047],[-0.030862963347,0.052361783578],[0.050682970737,0.002221567526],[0.004809813292,0.044096948024]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[-0.22903255559,2.138665289429],[-0.115831653381,0.838615126237],[1.803327419144,-0.464265026749],[-1.067241470791,2.018617821481],[0.406555709586,1.247279075109],[1.581866490744,0.249014203328]],\"p1\":[[-0.227818163909,2.143293190188],[-0.110704421319,0.845840160823],[1.800940265096,-0.468580979086],[-1.074368353039,2.025612526344],[0.415935530706,1.249002383272],[1.58297614766,0.256055543439]],\"v0\":[[0.001445678074,0.015997659691],[0.067210212279,0.087845608762],[-0.03231016534,-0.008387433047],[-0.030862963347,0.052361783578],[0.050682970737,0.002221567526],[0.004809813292,0.044096948024]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-0.22903255559,2.138665289429],[-0.115831653381,0.838615126237],[1.803327419144,-0.464265026749],[-1.067241470791,2.018617821481],[0.406555709586,1.247279075109],[1.581866490744,0.249014203328]],\"p1\":[[-0.227818163909,2.143293190188],[-0.110704421319,0.845840160823],[1.800940265096,-0.468580979086],[-1.074368353039,2.025612526344],[0.415935530706,1.249002383272],[1.58297614766,0.256055543439]],\"v0\":[[0.001445678074,0.015997659691],[0.067210212279,0.087845608762],[-0.03231016534,-0.008387433047],[-0.030862963347,0.052361783578],[0.050682970737,0.002221567526],[0.004809813292,0.044096948024]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"8ee8cc52f8883359c199","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.726998969312,-1.00552735618],[-1.367736148841,0.260807086597],[-0.518539856842,-0.94346784375],[0.143194559284,-0.13812312765],[0.601051548816,0.850551613281],[1.751037741604,-0.54533998974]],\"p1\":[[-1.735376550411,-1.017604331828],[-1.370879505972,0.25713059089],[-0.518073082465,-0.942625959431],[0.140599298707,-0.12601372732],[0.606534979421,0.853690479529],[1.749115927135,-0.536028206951]],\"v0\":[[-0.072472218509,-0.085614165457],[-0.034675153275,-0.04955464573],[0.015793258896,0.030420710608],[-0.024655859382,0.071696156628],[0.055411610514,0.024947337493],[-0.023466707364,0.088508459213]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,0,1],\"p0\":[[-1.726998969312,-1.00552735618],[-1.367736148841,0.260807086597],[-0.518539856842,-0.94346784375],[0.143194559284,-0.13812312765],[0.601051548816,0.850551613281],[1.751037741604,-0.54533998974]],\"p1\":[[-1.735376550411,-1.017604331828],[-1.370879505972,0.25713059089],[-0.518073082465,-0.942625959431],[0.140599298707,-0.12601372732],[0.606534979421,0.853690479529],[1.749115927135,-0.536028206951]],\"v0\":[[-0.072472218509,-0.085614165457],[-0.034675153275,-0.04955464573],[0.015793258896,0.030420710608],[-0.024655859382,0.071696156628],[0.055411610514,0.024947337493],[-0.023466707364,0.088508459213]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[-1.726998969312,-1.00552735618],[-1.367736148841,0.260807086597],[-0.518539856842,-0.94346784375],[0.143194559284,-0.13812312765],[0.601051548816,0.850551613281],[1.751037741604,-0.54533998974]],\"p1\":[[-1.735376550411,-1.017604331828],[-1.370879505972,0.25713059089],[-0.518073082465,-0.942625959431],[0.140599298707,-0.12601372732],[0.606534979421,0.853690479529],[1.749115927135,-0.536028206951]],\"v0\":[[-0.072472218509,-0.085614165457],[-0.034675153275,-0.04955464573],[0.015793258896,0.030420710608],[-0.024655859382,0.071696156628],[0.055411610514,0.024947337493],[-0.023466707364,0.088508459213]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"0257f27797d63a93e61b","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.137054006248,1.261651611981],[2.087268447525,0.561628287042],[-1.563434410055,-1.555716876435],[-0.068710790132,-0.413755774971],[-1.448938823407,-0.821128298093],[-1.383910691368,1.412384068736]],\"p1\":[[-2.127420225723,1.252412606151],[2.094606031562,0.561527993721],[-1.569044141443,-1.560936348537],[-0.071872299744,-0.407482708407],[-1.459528798813,-0.811938993827],[-1.397333825479,1.413499098867]],\"v0\":[[0.054781763755,-0.075549413253],[0.056894290814,-0.002506885272],[-0.038894853805,-0.017700533507],[-0.033744510388,0.04999378143],[-0.083388352581,0.055828843841],[-0.087423220741,0.006756120997]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,1,1],\"p0\":[[-2.137054006248,1.261651611981],[2.087268447525,0.561628287042],[-1.563434410055,-1.555716876435],[-0.068710790132,-0.413755774971],[-1.448938823407,-0.821128298093],[-1.383910691368,1.412384068736]],\"p1\":[[-2.127420225723,1.252412606151],[2.094606031562,0.561527993721],[-1.569044141443,-1.560936348537],[-0.071872299744,-0.407482708407],[-1.459528798813,-0.811938993827],[-1.397333825479,1.413499098867]],\"v0\":[[0.054781763755,-0.075549413253],[0.056894290814,-0.002506885272],[-0.038894853805,-0.017700533507],[-0.033744510388,0.04999378143],[-0.083388352581,0.055828843841],[-0.087423220741,0.006756120997]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[-2.137054006248,1.261651611981],[2.087268447525,0.561628287042],[-1.563434410055,-1.555716876435],[-0.068710790132,-0.413755774971],[-1.448938823407,-0.821128298093],[-1.383910691368,1.412384068736]],\"p1\":[[-2.127420225723,1.252412606151],[2.094606031562,0.561527993721],[-1.569044141443,-1.560936348537],[-0.071872299744,-0.407482708407],[-1.459528798813,-0.811938993827],[-1.397333825479,1.413499098867]],\"v0\":[[0.054781763755,-0.075549413253],[0.056894290814,-0.002506885272],[-0.038894853805,-0.017700533507],[-0.033744510388,0.04999378143],[-0.083388352581,0.055828843841],[-0.087423220741,0.006756120997]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"50d1e4e9a0d9e09d9d66","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.348214706311,-0.743501794048],[1.70918420974,1.039999509112],[-1.467549502909,0.585758157366],[-1.714704424971,-1.840945990012],[0.000598718468,-1.493785459202],[-0.71588745411,-1.6454522217]],\"p1\":[[-0.336085111532,-0.750383804079],[1.711442579686,1.037719752421],[-1.46543018962,0.586522614011],[-1.721347857327,-1.831558878374],[-0.003721466624,-1.492861311321],[-0.714734229825,-1.643036372455]],\"v0\":[[0.087027715555,-0.087731122912],[0.010622486152,-0.02507931483],[0.022765601757,0.016945310832],[-0.06847958494,0.075318798202],[-0.011171756885,0.027373535912],[0.015042912127,0.029254448529]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[-0.348214706311,-0.743501794048],[1.70918420974,1.039999509112],[-1.467549502909,0.585758157366],[-1.714704424971,-1.840945990012],[0.000598718468,-1.493785459202],[-0.71588745411,-1.6454522217]],\"p1\":[[-0.336085111532,-0.750383804079],[1.711442579686,1.037719752421],[-1.46543018962,0.586522614011],[-1.721347857327,-1.831558878374],[-0.003721466624,-1.492861311321],[-0.714734229825,-1.643036372455]],\"v0\":[[0.087027715555,-0.087731122912],[0.010622486152,-0.02507931483],[0.022765601757,0.016945310832],[-0.06847958494,0.075318798202],[-0.011171756885,0.027373535912],[0.015042912127,0.029254448529]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[-0.348214706311,-0.743501794048],[1.70918420974,1.039999509112],[-1.467549502909,0.585758157366],[-1.714704424971,-1.840945990012],[0.000598718468,-1.493785459202],[-0.71588745411,-1.6454522217]],\"p1\":[[-0.336085111532,-0.750383804079],[1.711442579686,1.037719752421],[-1.46543018962,0.586522614011],[-1.721347857327,-1.831558878374],[-0.003721466624,-1.492861311321],[-0.714734229825,-1.643036372455]],\"v0\":[[0.087027715555,-0.087731122912],[0.010622486152,-0.02507931483],[0.022765601757,0.016945310832],[-0.06847958494,0.075318798202],[-0.011171756885,0.027373535912],[0.015042912127,0.029254448529]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,1]}"},{"episode_id":"25f512057b6366be3f97","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.461238046209,0.196017427127],[-1.947799001158,-1.903132218209],[0.945096708316,1.351965478923],[0.10998906809,0.823784140686],[0.719883747121,-1.230839788401],[-1.363571190752,0.836840089424]],\"p1\":[[-0.459616865757,0.199844068362],[-1.955375564707,-1.907786837845],[0.949661067937,1.343906113285],[0.10342576282,0.825774873717],[0.727385005105,-1.229896970566],[-1.369943667159,0.848118904607]],\"v0\":[[0.021538990114,0.049837137098],[-0.058447830936,-0.033250869698],[0.01981701127,-0.080478569688],[-0.061700456787,0.006384773874],[0.056182345415,0.01681667426],[-0.034269618809,0.085066037574]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,0,1],\"p0\":[[-0.461238046209,0.196017427127],[-1.947799001158,-1.903132218209],[0.945096708316,1.351965478923],[0.10998906809,0.823784140686],[0.719883747121,-1.230839788401],[-1.363571190752,0.836840089424]],\"p1\":[[-0.459616865757,0.199844068362],[-1.955375564707,-1.907786837845],[0.949661067937,1.343906113285],[0.10342576282,0.825774873717],[0.727385005105,-1.229896970566],[-1.369943667159,0.848118904607]],\"v0\":[[0.021538990114,0.049837137098],[-0.058447830936,-0.033250869698],[0.01981701127,-0.080478569688],[-0.061700456787,0.006384773874],[0.056182345415,0.01681667426],[-0.034269618809,0.085066037574]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[-0.461238046209,0.196017427127],[-1.947799001158,-1.903132218209],[0.945096708316,1.351965478923],[0.10998906809,0.823784140686],[0.719883747121,-1.230839788401],[-1.363571190752,0.836840089424]],\"p1\":[[-0.459616865757,0.199844068362],[-1.955375564707,-1.907786837845],[0.949661067937,1.343906113285],[0.10342576282,0.825774873717],[0.727385005105,-1.229896970566],[-1.369943667159,0.848118904607]],\"v0\":[[0.021538990114,0.049837137098],[-0.058447830936,-0.033250869698],[0.01981701127,-0.080478569688],[-0.061700456787,0.006384773874],[0.056182345415,0.01681667426],[-0.034269618809,0.085066037574]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"e15f1bc80e5e76aeb868","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.422502749878,0.977291322016],[-1.166718946258,1.394474830946],[0.345461882346,-1.779630585433],[-1.174854390675,-2.132363915967],[-0.698243969558,0.656044449573],[0.724932559517,0.127252028329]],\"p1\":[[1.426656169177,0.981723984476],[-1.169930037797,1.396296347652],[0.349739440692,-1.78631289421],[-1.166412730351,-2.135234837834],[-0.694340655784,0.657699458084],[0.723848619399,0.136290361442]],\"v0\":[[0.058659936636,0.054086580383],[-0.047502248558,0.040470477779],[0.0451949422,-0.073967415107],[0.055250739165,-0.04147272153],[0.024316748488,0.012805694305],[0.00142088279,0.06969646872]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[1.422502749878,0.977291322016],[-1.166718946258,1.394474830946],[0.345461882346,-1.779630585433],[-1.174854390675,-2.132363915967],[-0.698243969558,0.656044449573],[0.724932559517,0.127252028329]],\"p1\":[[1.426656169177,0.981723984476],[-1.169930037797,1.396296347652],[0.349739440692,-1.78631289421],[-1.166412730351,-2.135234837834],[-0.694340655784,0.657699458084],[0.723848619399,0.136290361442]],\"v0\":[[0.058659936636,0.054086580383],[-0.047502248558,0.040470477779],[0.0451949422,-0.073967415107],[0.055250739165,-0.04147272153],[0.024316748488,0.012805694305],[0.00142088279,0.06969646872]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[1.422502749878,0.977291322016],[-1.166718946258,1.394474830946],[0.345461882346,-1.779630585433],[-1.174854390675,-2.132363915967],[-0.698243969558,0.656044449573],[0.724932559517,0.127252028329]],\"p1\":[[1.426656169177,0.981723984476],[-1.169930037797,1.396296347652],[0.349739440692,-1.78631289421],[-1.166412730351,-2.135234837834],[-0.694340655784,0.657699458084],[0.723848619399,0.136290361442]],\"v0\":[[0.058659936636,0.054086580383],[-0.047502248558,0.040470477779],[0.0451949422,-0.073967415107],[0.055250739165,-0.04147272153],[0.024316748488,0.012805694305],[0.00142088279,0.06969646872]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"2f1b555f68ea60ca50d3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.730171970228,-2.118870041392],[0.181271567471,1.640617055208],[1.738560452644,0.840167484539],[-0.230957707046,1.214461438692],[-2.013151323087,0.435992061836],[-1.89431678345,-0.597644631906]],\"p1\":[[-1.733843704978,-2.123772215294],[0.181994064344,1.644661024537],[1.740699533876,0.845736893801],[-0.227846237972,1.215505879746],[-2.024391022751,0.434872148663],[-1.897232390581,-0.603070615824]],\"v0\":[[-0.03014925398,-0.030599013938],[-0.017514777147,0.003537402325],[0.007860431624,0.04827191904],[0.048179085578,0.028963023424],[-0.085554408958,-0.021274179259],[-0.021604363498,-0.035484579488]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,0],\"p0\":[[-1.730171970228,-2.118870041392],[0.181271567471,1.640617055208],[1.738560452644,0.840167484539],[-0.230957707046,1.214461438692],[-2.013151323087,0.435992061836],[-1.89431678345,-0.597644631906]],\"p1\":[[-1.733843704978,-2.123772215294],[0.181994064344,1.644661024537],[1.740699533876,0.845736893801],[-0.227846237972,1.215505879746],[-2.024391022751,0.434872148663],[-1.897232390581,-0.603070615824]],\"v0\":[[-0.03014925398,-0.030599013938],[-0.017514777147,0.003537402325],[0.007860431624,0.04827191904],[0.048179085578,0.028963023424],[-0.085554408958,-0.021274179259],[-0.021604363498,-0.035484579488]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[-1.730171970228,-2.118870041392],[0.181271567471,1.640617055208],[1.738560452644,0.840167484539],[-0.230957707046,1.214461438692],[-2.013151323087,0.435992061836],[-1.89431678345,-0.597644631906]],\"p1\":[[-1.733843704978,-2.123772215294],[0.181994064344,1.644661024537],[1.740699533876,0.845736893801],[-0.227846237972,1.215505879746],[-2.024391022751,0.434872148663],[-1.897232390581,-0.603070615824]],\"v0\":[[-0.03014925398,-0.030599013938],[-0.017514777147,0.003537402325],[0.007860431624,0.04827191904],[0.048179085578,0.028963023424],[-0.085554408958,-0.021274179259],[-0.021604363498,-0.035484579488]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,1]}"},{"episode_id":"1eccb0dcc658a494757c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.170100601183,-0.045502858415],[-1.09536382676,1.283489742693],[-2.129898809615,2.050487582906],[-1.041258182706,-0.501274020011],[1.763674270664,-0.401755784226],[0.235554957883,-1.339248748996]],\"p1\":[[0.174403887861,-0.03865500083],[-1.09203860353,1.284731218909],[-2.121240198475,2.055941929564],[-1.04757351718,-0.496711914726],[1.756423508256,-0.393013975344],[0.242453462281,-1.336580101504]],\"v0\":[[0.042406503845,0.053464275903],[0.03287531725,0.003630077468],[0.062662150771,0.051501734968],[-0.042089614525,0.049298312841],[-0.076949512127,0.074629548327],[0.061257892811,0.013444734809]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,1,0],\"p0\":[[0.170100601183,-0.045502858415],[-1.09536382676,1.283489742693],[-2.129898809615,2.050487582906],[-1.041258182706,-0.501274020011],[1.763674270664,-0.401755784226],[0.235554957883,-1.339248748996]],\"p1\":[[0.174403887861,-0.03865500083],[-1.09203860353,1.284731218909],[-2.121240198475,2.055941929564],[-1.04757351718,-0.496711914726],[1.756423508256,-0.393013975344],[0.242453462281,-1.336580101504]],\"v0\":[[0.042406503845,0.053464275903],[0.03287531725,0.003630077468],[0.062662150771,0.051501734968],[-0.042089614525,0.049298312841],[-0.076949512127,0.074629548327],[0.061257892811,0.013444734809]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[0.170100601183,-0.045502858415],[-1.09536382676,1.283489742693],[-2.129898809615,2.050487582906],[-1.041258182706,-0.501274020011],[1.763674270664,-0.401755784226],[0.235554957883,-1.339248748996]],\"p1\":[[0.174403887861,-0.03865500083],[-1.09203860353,1.284731218909],[-2.121240198475,2.055941929564],[-1.04757351718,-0.496711914726],[1.756423508256,-0.393013975344],[0.242453462281,-1.336580101504]],\"v0\":[[0.042406503845,0.053464275903],[0.03287531725,0.003630077468],[0.062662150771,0.051501734968],[-0.042089614525,0.049298312841],[-0.076949512127,0.074629548327],[0.061257892811,0.013444734809]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,1,0]}"},{"episode_id":"e9375ae60dbb80bfbb84","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.408133177115,-1.046695406099],[-1.574817208316,0.830759291406],[-1.562911369754,-2.041238272381],[0.391950289772,0.004434519848],[-1.483362919616,-0.927508971774],[-0.50701742372,0.92888985036]],\"p1\":[[1.412788379444,-1.04617053097],[-1.58552044616,0.836851260183],[-1.553221720734,-2.038115385714],[0.400127638362,0.001877490503],[-1.484101584966,-0.921132622887],[-0.513203764362,0.932263859945]],\"v0\":[[0.033430215543,0.006735306357],[-0.0814531156,0.059945706996],[0.083655662704,0.035671468555],[0.07723943624,-0.035913978613],[-0.003573407287,0.036107836922],[-0.06851582406,0.038562490599]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,0],\"p0\":[[1.408133177115,-1.046695406099],[-1.574817208316,0.830759291406],[-1.562911369754,-2.041238272381],[0.391950289772,0.004434519848],[-1.483362919616,-0.927508971774],[-0.50701742372,0.92888985036]],\"p1\":[[1.412788379444,-1.04617053097],[-1.58552044616,0.836851260183],[-1.553221720734,-2.038115385714],[0.400127638362,0.001877490503],[-1.484101584966,-0.921132622887],[-0.513203764362,0.932263859945]],\"v0\":[[0.033430215543,0.006735306357],[-0.0814531156,0.059945706996],[0.083655662704,0.035671468555],[0.07723943624,-0.035913978613],[-0.003573407287,0.036107836922],[-0.06851582406,0.038562490599]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[1.408133177115,-1.046695406099],[-1.574817208316,0.830759291406],[-1.562911369754,-2.041238272381],[0.391950289772,0.004434519848],[-1.483362919616,-0.927508971774],[-0.50701742372,0.92888985036]],\"p1\":[[1.412788379444,-1.04617053097],[-1.58552044616,0.836851260183],[-1.553221720734,-2.038115385714],[0.400127638362,0.001877490503],[-1.484101584966,-0.921132622887],[-0.513203764362,0.932263859945]],\"v0\":[[0.033430215543,0.006735306357],[-0.0814531156,0.059945706996],[0.083655662704,0.035671468555],[0.07723943624,-0.035913978613],[-0.003573407287,0.036107836922],[-0.06851582406,0.038562490599]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"8d7db1807707c751f41c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.524247645842,0.772776422953],[0.192797046976,1.031281418183],[-1.157835337584,1.710269855712],[-2.143254240167,1.068382866947],[-0.986572324076,-0.656776925797],[1.696937933358,0.718653886705]],\"p1\":[[-1.526818709301,0.76388625204],[0.187842622349,1.037590138796],[-1.167778099285,1.703051916208],[-2.137545876235,1.081368176567],[-0.976017169808,-0.649023437574],[1.705141418782,0.723936699409]],\"v0\":[[-0.033477911321,-0.042812285686],[-0.02983454941,0.039492382192],[-0.081274520183,-0.069850870278],[0.056352245003,0.087304589446],[0.086711755701,0.071171941418],[0.059845928856,0.049879415768]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,0],\"p0\":[[-1.524247645842,0.772776422953],[0.192797046976,1.031281418183],[-1.157835337584,1.710269855712],[-2.143254240167,1.068382866947],[-0.986572324076,-0.656776925797],[1.696937933358,0.718653886705]],\"p1\":[[-1.526818709301,0.76388625204],[0.187842622349,1.037590138796],[-1.167778099285,1.703051916208],[-2.137545876235,1.081368176567],[-0.976017169808,-0.649023437574],[1.705141418782,0.723936699409]],\"v0\":[[-0.033477911321,-0.042812285686],[-0.02983454941,0.039492382192],[-0.081274520183,-0.069850870278],[0.056352245003,0.087304589446],[0.086711755701,0.071171941418],[0.059845928856,0.049879415768]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-1.524247645842,0.772776422953],[0.192797046976,1.031281418183],[-1.157835337584,1.710269855712],[-2.143254240167,1.068382866947],[-0.986572324076,-0.656776925797],[1.696937933358,0.718653886705]],\"p1\":[[-1.526818709301,0.76388625204],[0.187842622349,1.037590138796],[-1.167778099285,1.703051916208],[-2.137545876235,1.081368176567],[-0.976017169808,-0.649023437574],[1.705141418782,0.723936699409]],\"v0\":[[-0.033477911321,-0.042812285686],[-0.02983454941,0.039492382192],[-0.081274520183,-0.069850870278],[0.056352245003,0.087304589446],[0.086711755701,0.071171941418],[0.059845928856,0.049879415768]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"8701339e64a9ae27eca4","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.499873919997,1.566298112653],[1.985188098696,-1.261318413024],[1.261138139699,1.588499074652],[0.575621657382,-0.90898668814],[-0.878398368522,2.125156903049],[2.045944287551,-0.57027283608]],\"p1\":[[-0.507029386058,1.556154934763],[1.985061813509,-1.274845101277],[1.259624411462,1.583896484977],[0.585013238466,-0.904379738645],[-0.870303186039,2.134826708358],[2.053993714835,-0.559778116407]],\"v0\":[[-0.068027692326,-0.064747650603],[-0.006692593641,-0.082062203829],[-0.019229225451,-0.043895900312],[0.089940608316,0.043145782274],[0.087375895113,0.054443258822],[0.056138936046,0.06394186913]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,0],\"p0\":[[-0.499873919997,1.566298112653],[1.985188098696,-1.261318413024],[1.261138139699,1.588499074652],[0.575621657382,-0.90898668814],[-0.878398368522,2.125156903049],[2.045944287551,-0.57027283608]],\"p1\":[[-0.507029386058,1.556154934763],[1.985061813509,-1.274845101277],[1.259624411462,1.583896484977],[0.585013238466,-0.904379738645],[-0.870303186039,2.134826708358],[2.053993714835,-0.559778116407]],\"v0\":[[-0.068027692326,-0.064747650603],[-0.006692593641,-0.082062203829],[-0.019229225451,-0.043895900312],[0.089940608316,0.043145782274],[0.087375895113,0.054443258822],[0.056138936046,0.06394186913]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[-0.499873919997,1.566298112653],[1.985188098696,-1.261318413024],[1.261138139699,1.588499074652],[0.575621657382,-0.90898668814],[-0.878398368522,2.125156903049],[2.045944287551,-0.57027283608]],\"p1\":[[-0.507029386058,1.556154934763],[1.985061813509,-1.274845101277],[1.259624411462,1.583896484977],[0.585013238466,-0.904379738645],[-0.870303186039,2.134826708358],[2.053993714835,-0.559778116407]],\"v0\":[[-0.068027692326,-0.064747650603],[-0.006692593641,-0.082062203829],[-0.019229225451,-0.043895900312],[0.089940608316,0.043145782274],[0.087375895113,0.054443258822],[0.056138936046,0.06394186913]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"47f1969257782510fdf6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.180363437825,0.379213862802],[0.667952161509,1.914476471801],[0.702569491085,0.280389595886],[1.546095770751,-0.351427731243],[0.219095768358,-0.075001124634],[-1.045460939572,1.340013918961]],\"p1\":[[-0.170027096778,0.386581059382],[0.673578033388,1.916294158393],[0.70075112679,0.283937871412],[1.546557674093,-0.352165146683],[0.224452437881,-0.062182040818],[-1.037412599547,1.345460051228]],\"v0\":[[0.052954269158,0.067066534387],[0.057512845127,0.04573968754],[0.013270675668,0.036241960984],[0.037558024468,-0.02718498334],[0.034656397532,0.067591618622],[0.037470800714,0.06271984299]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[-0.180363437825,0.379213862802],[0.667952161509,1.914476471801],[0.702569491085,0.280389595886],[1.546095770751,-0.351427731243],[0.219095768358,-0.075001124634],[-1.045460939572,1.340013918961]],\"p1\":[[-0.170027096778,0.386581059382],[0.673578033388,1.916294158393],[0.70075112679,0.283937871412],[1.546557674093,-0.352165146683],[0.224452437881,-0.062182040818],[-1.037412599547,1.345460051228]],\"v0\":[[0.052954269158,0.067066534387],[0.057512845127,0.04573968754],[0.013270675668,0.036241960984],[0.037558024468,-0.02718498334],[0.034656397532,0.067591618622],[0.037470800714,0.06271984299]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[-0.180363437825,0.379213862802],[0.667952161509,1.914476471801],[0.702569491085,0.280389595886],[1.546095770751,-0.351427731243],[0.219095768358,-0.075001124634],[-1.045460939572,1.340013918961]],\"p1\":[[-0.170027096778,0.386581059382],[0.673578033388,1.916294158393],[0.70075112679,0.283937871412],[1.546557674093,-0.352165146683],[0.224452437881,-0.062182040818],[-1.037412599547,1.345460051228]],\"v0\":[[0.052954269158,0.067066534387],[0.057512845127,0.04573968754],[0.013270675668,0.036241960984],[0.037558024468,-0.02718498334],[0.034656397532,0.067591618622],[0.037470800714,0.06271984299]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"b81e8c76da2e8542e753","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.519438064156,0.428231702849],[-0.669386965138,1.210767124291],[1.776287144812,2.139533630845],[1.26369620269,-1.332221795549],[-1.526777341828,-1.525506547098],[-1.791591406213,-0.988885658446]],\"p1\":[[1.521689571022,0.421033984636],[-0.670794054274,1.214096058342],[1.778716906712,2.138749852646],[1.259569426259,-1.342904839178],[-1.528035082163,-1.524520963304],[-1.799157134211,-0.987526818103]],\"v0\":[[0.014400775145,-0.059876480022],[-0.008033113963,0.022736433403],[0.016555478775,-0.013933592252],[-0.037748941909,-0.082299850629],[-0.022065170331,0.041758776801],[-0.043742903832,-0.01664513606]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[1.519438064156,0.428231702849],[-0.669386965138,1.210767124291],[1.776287144812,2.139533630845],[1.26369620269,-1.332221795549],[-1.526777341828,-1.525506547098],[-1.791591406213,-0.988885658446]],\"p1\":[[1.521689571022,0.421033984636],[-0.670794054274,1.214096058342],[1.778716906712,2.138749852646],[1.259569426259,-1.342904839178],[-1.528035082163,-1.524520963304],[-1.799157134211,-0.987526818103]],\"v0\":[[0.014400775145,-0.059876480022],[-0.008033113963,0.022736433403],[0.016555478775,-0.013933592252],[-0.037748941909,-0.082299850629],[-0.022065170331,0.041758776801],[-0.043742903832,-0.01664513606]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[1.519438064156,0.428231702849],[-0.669386965138,1.210767124291],[1.776287144812,2.139533630845],[1.26369620269,-1.332221795549],[-1.526777341828,-1.525506547098],[-1.791591406213,-0.988885658446]],\"p1\":[[1.521689571022,0.421033984636],[-0.670794054274,1.214096058342],[1.778716906712,2.138749852646],[1.259569426259,-1.342904839178],[-1.528035082163,-1.524520963304],[-1.799157134211,-0.987526818103]],\"v0\":[[0.014400775145,-0.059876480022],[-0.008033113963,0.022736433403],[0.016555478775,-0.013933592252],[-0.037748941909,-0.082299850629],[-0.022065170331,0.041758776801],[-0.043742903832,-0.01664513606]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,0,1]}"},{"episode_id":"a80c8caba2daf9d993af","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.27281962014,1.011608614981],[0.744325829614,0.649922710586],[0.013136948933,1.129613218696],[0.623829277488,0.025068948282],[0.123904009064,0.452489013191],[0.808303478109,1.669837688502]],\"p1\":[[-1.266115895968,1.005505351003],[0.747920709839,0.652396872142],[0.026488285129,1.126231771943],[0.6210021374,0.027737064269],[0.112771274687,0.43703925488],[0.804139854177,1.660514593701]],\"v0\":[[0.06512664304,-0.04251272808],[0.012294836194,-0.02672374122],[0.083762250712,-0.05753443483],[-0.002781595147,0.04474546582],[-0.078237895924,-0.085286442285],[-0.034110553914,-0.075315505229]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-1.27281962014,1.011608614981],[0.744325829614,0.649922710586],[0.013136948933,1.129613218696],[0.623829277488,0.025068948282],[0.123904009064,0.452489013191],[0.808303478109,1.669837688502]],\"p1\":[[-1.266115895968,1.005505351003],[0.747920709839,0.652396872142],[0.026488285129,1.126231771943],[0.6210021374,0.027737064269],[0.112771274687,0.43703925488],[0.804139854177,1.660514593701]],\"v0\":[[0.06512664304,-0.04251272808],[0.012294836194,-0.02672374122],[0.083762250712,-0.05753443483],[-0.002781595147,0.04474546582],[-0.078237895924,-0.085286442285],[-0.034110553914,-0.075315505229]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[-1.27281962014,1.011608614981],[0.744325829614,0.649922710586],[0.013136948933,1.129613218696],[0.623829277488,0.025068948282],[0.123904009064,0.452489013191],[0.808303478109,1.669837688502]],\"p1\":[[-1.266115895968,1.005505351003],[0.747920709839,0.652396872142],[0.026488285129,1.126231771943],[0.6210021374,0.027737064269],[0.112771274687,0.43703925488],[0.804139854177,1.660514593701]],\"v0\":[[0.06512664304,-0.04251272808],[0.012294836194,-0.02672374122],[0.083762250712,-0.05753443483],[-0.002781595147,0.04474546582],[-0.078237895924,-0.085286442285],[-0.034110553914,-0.075315505229]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"e49ef12b9f9738e8b455","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.180442128418,-0.446855671098],[-1.195503316971,0.260119509043],[-0.08782549709,0.497430721923],[-1.902477345,0.28086189962],[-1.781930350794,-1.624643712175],[-0.210773010257,-1.448353224459]],\"p1\":[[-1.182299568122,-0.452470840282],[-1.207882190241,0.264779826568],[-0.085527268175,0.488491556007],[-1.897292756849,0.284862328622],[-1.789343737528,-1.626094584771],[-0.216622964379,-1.439845360231]],\"v0\":[[-0.010692460524,-0.047124590656],[-0.086369877437,0.003697436817],[0.031911067278,-0.063152365154],[0.010519216415,0.049432270064],[-0.052453358376,-0.006281258209],[-0.059721560393,0.073123532631]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[-1.180442128418,-0.446855671098],[-1.195503316971,0.260119509043],[-0.08782549709,0.497430721923],[-1.902477345,0.28086189962],[-1.781930350794,-1.624643712175],[-0.210773010257,-1.448353224459]],\"p1\":[[-1.182299568122,-0.452470840282],[-1.207882190241,0.264779826568],[-0.085527268175,0.488491556007],[-1.897292756849,0.284862328622],[-1.789343737528,-1.626094584771],[-0.216622964379,-1.439845360231]],\"v0\":[[-0.010692460524,-0.047124590656],[-0.086369877437,0.003697436817],[0.031911067278,-0.063152365154],[0.010519216415,0.049432270064],[-0.052453358376,-0.006281258209],[-0.059721560393,0.073123532631]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-1.180442128418,-0.446855671098],[-1.195503316971,0.260119509043],[-0.08782549709,0.497430721923],[-1.902477345,0.28086189962],[-1.781930350794,-1.624643712175],[-0.210773010257,-1.448353224459]],\"p1\":[[-1.182299568122,-0.452470840282],[-1.207882190241,0.264779826568],[-0.085527268175,0.488491556007],[-1.897292756849,0.284862328622],[-1.789343737528,-1.626094584771],[-0.216622964379,-1.439845360231]],\"v0\":[[-0.010692460524,-0.047124590656],[-0.086369877437,0.003697436817],[0.031911067278,-0.063152365154],[0.010519216415,0.049432270064],[-0.052453358376,-0.006281258209],[-0.059721560393,0.073123532631]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"9040be709a3337c159ad","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.662015766567,-1.756026318404],[1.752786507712,-0.774087777845],[1.570550464047,1.544685231152],[0.444308710752,-0.608490902494],[-1.295249739905,-1.34676014401],[-1.434934002432,0.414616487952]],\"p1\":[[-0.666848893823,-1.74988551683],[1.75463059211,-0.779833734392],[1.577102882541,1.543386257442],[0.449350116454,-0.618738250028],[-1.300312552064,-1.337711932047],[-1.440414956059,0.418518738478]],\"v0\":[[-0.039865671832,0.066455647744],[0.021945335824,-0.055079535417],[0.053133877148,-0.00153775666],[0.023594077232,-0.089548933614],[-0.041822973359,0.067460743298],[-0.033142848755,0.027241386913]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,1,0],\"p0\":[[-0.662015766567,-1.756026318404],[1.752786507712,-0.774087777845],[1.570550464047,1.544685231152],[0.444308710752,-0.608490902494],[-1.295249739905,-1.34676014401],[-1.434934002432,0.414616487952]],\"p1\":[[-0.666848893823,-1.74988551683],[1.75463059211,-0.779833734392],[1.577102882541,1.543386257442],[0.449350116454,-0.618738250028],[-1.300312552064,-1.337711932047],[-1.440414956059,0.418518738478]],\"v0\":[[-0.039865671832,0.066455647744],[0.021945335824,-0.055079535417],[0.053133877148,-0.00153775666],[0.023594077232,-0.089548933614],[-0.041822973359,0.067460743298],[-0.033142848755,0.027241386913]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[-0.662015766567,-1.756026318404],[1.752786507712,-0.774087777845],[1.570550464047,1.544685231152],[0.444308710752,-0.608490902494],[-1.295249739905,-1.34676014401],[-1.434934002432,0.414616487952]],\"p1\":[[-0.666848893823,-1.74988551683],[1.75463059211,-0.779833734392],[1.577102882541,1.543386257442],[0.449350116454,-0.618738250028],[-1.300312552064,-1.337711932047],[-1.440414956059,0.418518738478]],\"v0\":[[-0.039865671832,0.066455647744],[0.021945335824,-0.055079535417],[0.053133877148,-0.00153775666],[0.023594077232,-0.089548933614],[-0.041822973359,0.067460743298],[-0.033142848755,0.027241386913]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"46eceff8ae3754e8bea6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.212352955206,0.984003812518],[-0.110151463417,0.743974894472],[1.896230546093,1.065644932695],[1.922603584108,1.758860186368],[0.695899528514,1.733620390265],[1.141468329847,-0.337291417137]],\"p1\":[[1.207810060196,0.990966251278],[-0.11209336468,0.734748441847],[1.90120178029,1.053357487848],[1.93505546498,1.756818245146],[0.695339123052,1.744777881202],[1.148570044972,-0.347295360744]],\"v0\":[[-0.020002278093,0.074147884565],[0.00649040963,-0.070492001769],[0.00341187237,-0.080829639175],[0.081702337462,-0.0565455577],[0.01541020748,0.066531682018],[0.058651021636,-0.061477806304]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,0],\"p0\":[[1.212352955206,0.984003812518],[-0.110151463417,0.743974894472],[1.896230546093,1.065644932695],[1.922603584108,1.758860186368],[0.695899528514,1.733620390265],[1.141468329847,-0.337291417137]],\"p1\":[[1.207810060196,0.990966251278],[-0.11209336468,0.734748441847],[1.90120178029,1.053357487848],[1.93505546498,1.756818245146],[0.695339123052,1.744777881202],[1.148570044972,-0.347295360744]],\"v0\":[[-0.020002278093,0.074147884565],[0.00649040963,-0.070492001769],[0.00341187237,-0.080829639175],[0.081702337462,-0.0565455577],[0.01541020748,0.066531682018],[0.058651021636,-0.061477806304]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[1.212352955206,0.984003812518],[-0.110151463417,0.743974894472],[1.896230546093,1.065644932695],[1.922603584108,1.758860186368],[0.695899528514,1.733620390265],[1.141468329847,-0.337291417137]],\"p1\":[[1.207810060196,0.990966251278],[-0.11209336468,0.734748441847],[1.90120178029,1.053357487848],[1.93505546498,1.756818245146],[0.695339123052,1.744777881202],[1.148570044972,-0.347295360744]],\"v0\":[[-0.020002278093,0.074147884565],[0.00649040963,-0.070492001769],[0.00341187237,-0.080829639175],[0.081702337462,-0.0565455577],[0.01541020748,0.066531682018],[0.058651021636,-0.061477806304]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"8cbe9ada94e91c8b9a4d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[2.001760684426,0.825634660995],[-1.6816950411,-1.275039444658],[-2.037157966723,-0.1873183721],[-0.523127049956,0.631552956578],[1.232688683092,0.876017945997],[1.244986657503,1.820064015379]],\"p1\":[[1.995274268505,0.827076841179],[-1.670200945032,-1.278677668389],[-2.039718443278,-0.186779534998],[-0.52418857804,0.620452810371],[1.237739677409,0.886874398012],[1.235024054676,1.818182102554]],\"v0\":[[-0.017813086918,0.00484832635],[0.087826776899,-0.053868766167],[-0.042918437635,0.008069584181],[-0.017375344578,-0.088412377557],[0.039531161072,0.081809563955],[-0.078633843863,0.016030223713]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[2.001760684426,0.825634660995],[-1.6816950411,-1.275039444658],[-2.037157966723,-0.1873183721],[-0.523127049956,0.631552956578],[1.232688683092,0.876017945997],[1.244986657503,1.820064015379]],\"p1\":[[1.995274268505,0.827076841179],[-1.670200945032,-1.278677668389],[-2.039718443278,-0.186779534998],[-0.52418857804,0.620452810371],[1.237739677409,0.886874398012],[1.235024054676,1.818182102554]],\"v0\":[[-0.017813086918,0.00484832635],[0.087826776899,-0.053868766167],[-0.042918437635,0.008069584181],[-0.017375344578,-0.088412377557],[0.039531161072,0.081809563955],[-0.078633843863,0.016030223713]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[2.001760684426,0.825634660995],[-1.6816950411,-1.275039444658],[-2.037157966723,-0.1873183721],[-0.523127049956,0.631552956578],[1.232688683092,0.876017945997],[1.244986657503,1.820064015379]],\"p1\":[[1.995274268505,0.827076841179],[-1.670200945032,-1.278677668389],[-2.039718443278,-0.186779534998],[-0.52418857804,0.620452810371],[1.237739677409,0.886874398012],[1.235024054676,1.818182102554]],\"v0\":[[-0.017813086918,0.00484832635],[0.087826776899,-0.053868766167],[-0.042918437635,0.008069584181],[-0.017375344578,-0.088412377557],[0.039531161072,0.081809563955],[-0.078633843863,0.016030223713]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"99b4ce94675898a75fc3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.327977458828,0.277067960892],[0.479321124442,-0.270452660926],[0.098164439082,0.982130500204],[-1.537354974729,0.823677629808],[-0.048636244501,1.813831839556],[1.232626738916,1.494401780356]],\"p1\":[[-1.317962924192,0.27469229845],[0.472044309337,-0.26224074594],[0.093168970636,0.978929646091],[-1.535721198544,0.827596105032],[-0.045574597409,1.807489373593],[1.240238684496,1.501914120443]],\"v0\":[[0.083389093578,0.018133604488],[-0.068455493782,0.085199163915],[-0.044558605719,-0.015393988785],[0.039363452063,0.001612147976],[0.031263843739,-0.081319734808],[0.042744542985,0.056133372036]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,0,0],\"p0\":[[-1.327977458828,0.277067960892],[0.479321124442,-0.270452660926],[0.098164439082,0.982130500204],[-1.537354974729,0.823677629808],[-0.048636244501,1.813831839556],[1.232626738916,1.494401780356]],\"p1\":[[-1.317962924192,0.27469229845],[0.472044309337,-0.26224074594],[0.093168970636,0.978929646091],[-1.535721198544,0.827596105032],[-0.045574597409,1.807489373593],[1.240238684496,1.501914120443]],\"v0\":[[0.083389093578,0.018133604488],[-0.068455493782,0.085199163915],[-0.044558605719,-0.015393988785],[0.039363452063,0.001612147976],[0.031263843739,-0.081319734808],[0.042744542985,0.056133372036]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[-1.327977458828,0.277067960892],[0.479321124442,-0.270452660926],[0.098164439082,0.982130500204],[-1.537354974729,0.823677629808],[-0.048636244501,1.813831839556],[1.232626738916,1.494401780356]],\"p1\":[[-1.317962924192,0.27469229845],[0.472044309337,-0.26224074594],[0.093168970636,0.978929646091],[-1.535721198544,0.827596105032],[-0.045574597409,1.807489373593],[1.240238684496,1.501914120443]],\"v0\":[[0.083389093578,0.018133604488],[-0.068455493782,0.085199163915],[-0.044558605719,-0.015393988785],[0.039363452063,0.001612147976],[0.031263843739,-0.081319734808],[0.042744542985,0.056133372036]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"f9556864b167d04650d9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.49610616941,-1.049029620278],[0.579211467402,-2.039046596153],[-1.876088558516,1.966076010978],[-0.425251776678,2.029970107593],[1.466538756252,1.054220569406],[2.116132204034,1.631559169984]],\"p1\":[[1.505090626275,-1.055935863417],[0.577015360172,-2.031293322265],[-1.875897400483,1.95624482963],[-0.423830990279,2.018311876358],[1.471142323211,1.044791998031],[2.119642413471,1.632493474275]],\"v0\":[[0.082986316906,-0.052861972332],[-0.026038146608,0.055289094872],[0.015707417886,-0.087018483799],[-0.001262314278,-0.088678338319],[0.053192220321,-0.059011301374],[0.013031759628,-0.010524406684]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[1.49610616941,-1.049029620278],[0.579211467402,-2.039046596153],[-1.876088558516,1.966076010978],[-0.425251776678,2.029970107593],[1.466538756252,1.054220569406],[2.116132204034,1.631559169984]],\"p1\":[[1.505090626275,-1.055935863417],[0.577015360172,-2.031293322265],[-1.875897400483,1.95624482963],[-0.423830990279,2.018311876358],[1.471142323211,1.044791998031],[2.119642413471,1.632493474275]],\"v0\":[[0.082986316906,-0.052861972332],[-0.026038146608,0.055289094872],[0.015707417886,-0.087018483799],[-0.001262314278,-0.088678338319],[0.053192220321,-0.059011301374],[0.013031759628,-0.010524406684]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,1],\"p0\":[[1.49610616941,-1.049029620278],[0.579211467402,-2.039046596153],[-1.876088558516,1.966076010978],[-0.425251776678,2.029970107593],[1.466538756252,1.054220569406],[2.116132204034,1.631559169984]],\"p1\":[[1.505090626275,-1.055935863417],[0.577015360172,-2.031293322265],[-1.875897400483,1.95624482963],[-0.423830990279,2.018311876358],[1.471142323211,1.044791998031],[2.119642413471,1.632493474275]],\"v0\":[[0.082986316906,-0.052861972332],[-0.026038146608,0.055289094872],[0.015707417886,-0.087018483799],[-0.001262314278,-0.088678338319],[0.053192220321,-0.059011301374],[0.013031759628,-0.010524406684]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,1]}"},{"episode_id":"a3f074f6a9f97f485fc9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.065466918686,-1.156457445506],[2.130758538053,-0.958874298881],[1.69666830165,0.898130019175],[1.251583857253,1.562705608937],[-0.201559937286,-1.974460092167],[0.076204037552,1.144629462637]],\"p1\":[[-1.06556591504,-1.166959042105],[2.125155706847,-0.964933579041],[1.691197277407,0.889252379907],[1.25525121215,1.557750756654],[-0.197279235191,-1.978157312498],[0.075069049461,1.149330683011]],\"v0\":[[-0.006658900684,-0.077390922289],[-0.044621547721,-0.058158739982],[-0.063381569346,-0.05196175974],[0.032564225721,-0.059451154249],[0.043624974689,-0.039996419376],[0.00214129315,0.042047593399]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[-1.065466918686,-1.156457445506],[2.130758538053,-0.958874298881],[1.69666830165,0.898130019175],[1.251583857253,1.562705608937],[-0.201559937286,-1.974460092167],[0.076204037552,1.144629462637]],\"p1\":[[-1.06556591504,-1.166959042105],[2.125155706847,-0.964933579041],[1.691197277407,0.889252379907],[1.25525121215,1.557750756654],[-0.197279235191,-1.978157312498],[0.075069049461,1.149330683011]],\"v0\":[[-0.006658900684,-0.077390922289],[-0.044621547721,-0.058158739982],[-0.063381569346,-0.05196175974],[0.032564225721,-0.059451154249],[0.043624974689,-0.039996419376],[0.00214129315,0.042047593399]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-1.065466918686,-1.156457445506],[2.130758538053,-0.958874298881],[1.69666830165,0.898130019175],[1.251583857253,1.562705608937],[-0.201559937286,-1.974460092167],[0.076204037552,1.144629462637]],\"p1\":[[-1.06556591504,-1.166959042105],[2.125155706847,-0.964933579041],[1.691197277407,0.889252379907],[1.25525121215,1.557750756654],[-0.197279235191,-1.978157312498],[0.075069049461,1.149330683011]],\"v0\":[[-0.006658900684,-0.077390922289],[-0.044621547721,-0.058158739982],[-0.063381569346,-0.05196175974],[0.032564225721,-0.059451154249],[0.043624974689,-0.039996419376],[0.00214129315,0.042047593399]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,1,0]}"},{"episode_id":"c87634679da851eb5430","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.981447808347,-0.808707917831],[0.190262634014,-1.393728532857],[-1.756276770565,0.703162507356],[2.124462276623,-2.083663972243],[0.984337732556,1.821827593112],[1.325134216252,-0.912554690317]],\"p1\":[[1.979381577993,-0.812844550919],[0.1786949625,-1.396331674019],[-1.754724839574,0.709726248915],[2.130610348845,-2.07828989322],[0.978512755901,1.830232644596],[1.329261715094,-0.91582248982]],\"v0\":[[-0.007486093449,-0.026220638082],[-0.067777018057,-0.016723629028],[0.023410533468,0.055196309771],[0.050111544303,0.026348700945],[-0.057504029328,0.077304952675],[-0.004349740835,-0.029778210343]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[1.981447808347,-0.808707917831],[0.190262634014,-1.393728532857],[-1.756276770565,0.703162507356],[2.124462276623,-2.083663972243],[0.984337732556,1.821827593112],[1.325134216252,-0.912554690317]],\"p1\":[[1.979381577993,-0.812844550919],[0.1786949625,-1.396331674019],[-1.754724839574,0.709726248915],[2.130610348845,-2.07828989322],[0.978512755901,1.830232644596],[1.329261715094,-0.91582248982]],\"v0\":[[-0.007486093449,-0.026220638082],[-0.067777018057,-0.016723629028],[0.023410533468,0.055196309771],[0.050111544303,0.026348700945],[-0.057504029328,0.077304952675],[-0.004349740835,-0.029778210343]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[1.981447808347,-0.808707917831],[0.190262634014,-1.393728532857],[-1.756276770565,0.703162507356],[2.124462276623,-2.083663972243],[0.984337732556,1.821827593112],[1.325134216252,-0.912554690317]],\"p1\":[[1.979381577993,-0.812844550919],[0.1786949625,-1.396331674019],[-1.754724839574,0.709726248915],[2.130610348845,-2.07828989322],[0.978512755901,1.830232644596],[1.329261715094,-0.91582248982]],\"v0\":[[-0.007486093449,-0.026220638082],[-0.067777018057,-0.016723629028],[0.023410533468,0.055196309771],[0.050111544303,0.026348700945],[-0.057504029328,0.077304952675],[-0.004349740835,-0.029778210343]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,0]}"},{"episode_id":"81ab5f937670c2291ee0","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.032289181921,0.370994640685],[1.993164063897,0.821877732792],[1.315057458765,1.254503543127],[0.630458635471,1.834383217003],[0.734010107142,0.864922742444],[-0.921213985686,1.184892903273]],\"p1\":[[-1.039440758525,0.361284483909],[1.993919127223,0.830201838086],[1.313634827737,1.257646409967],[0.634457512799,1.828190603784],[0.73565245223,0.850890916051],[-0.929253908745,1.189444443086]],\"v0\":[[-0.04713210295,-0.057572573127],[-0.026741637789,0.083456072669],[-0.033994763957,0.010548479516],[0.044776442527,-0.083282777826],[0.033632524738,-0.088613089202],[-0.055689170469,0.019496517627]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,0],\"p0\":[[-1.032289181921,0.370994640685],[1.993164063897,0.821877732792],[1.315057458765,1.254503543127],[0.630458635471,1.834383217003],[0.734010107142,0.864922742444],[-0.921213985686,1.184892903273]],\"p1\":[[-1.039440758525,0.361284483909],[1.993919127223,0.830201838086],[1.313634827737,1.257646409967],[0.634457512799,1.828190603784],[0.73565245223,0.850890916051],[-0.929253908745,1.189444443086]],\"v0\":[[-0.04713210295,-0.057572573127],[-0.026741637789,0.083456072669],[-0.033994763957,0.010548479516],[0.044776442527,-0.083282777826],[0.033632524738,-0.088613089202],[-0.055689170469,0.019496517627]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[-1.032289181921,0.370994640685],[1.993164063897,0.821877732792],[1.315057458765,1.254503543127],[0.630458635471,1.834383217003],[0.734010107142,0.864922742444],[-0.921213985686,1.184892903273]],\"p1\":[[-1.039440758525,0.361284483909],[1.993919127223,0.830201838086],[1.313634827737,1.257646409967],[0.634457512799,1.828190603784],[0.73565245223,0.850890916051],[-0.929253908745,1.189444443086]],\"v0\":[[-0.04713210295,-0.057572573127],[-0.026741637789,0.083456072669],[-0.033994763957,0.010548479516],[0.044776442527,-0.083282777826],[0.033632524738,-0.088613089202],[-0.055689170469,0.019496517627]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"e2d98486f05291417f98","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.448689681216,1.814016019714],[-0.329981099984,1.77846753693],[-1.92697986716,0.928847170484],[0.209803048691,0.080966095696],[0.82799658771,0.010970854602],[-0.290727205078,1.062757291538]],\"p1\":[[0.440094555627,1.819328459398],[-0.328281899137,1.782872272086],[-1.931279730462,0.932656921137],[0.2192270919,0.085444645103],[0.831344009922,0.016348090961],[-0.297009658694,1.064172937818]],\"v0\":[[-0.040259950558,0.072041401912],[-0.003351325306,0.071437445409],[-0.067126588827,0.029228299441],[0.070541978654,0.010499726647],[0.065468219109,0.02139447852],[-0.064495468393,0.002051627565]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[0.448689681216,1.814016019714],[-0.329981099984,1.77846753693],[-1.92697986716,0.928847170484],[0.209803048691,0.080966095696],[0.82799658771,0.010970854602],[-0.290727205078,1.062757291538]],\"p1\":[[0.440094555627,1.819328459398],[-0.328281899137,1.782872272086],[-1.931279730462,0.932656921137],[0.2192270919,0.085444645103],[0.831344009922,0.016348090961],[-0.297009658694,1.064172937818]],\"v0\":[[-0.040259950558,0.072041401912],[-0.003351325306,0.071437445409],[-0.067126588827,0.029228299441],[0.070541978654,0.010499726647],[0.065468219109,0.02139447852],[-0.064495468393,0.002051627565]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[0.448689681216,1.814016019714],[-0.329981099984,1.77846753693],[-1.92697986716,0.928847170484],[0.209803048691,0.080966095696],[0.82799658771,0.010970854602],[-0.290727205078,1.062757291538]],\"p1\":[[0.440094555627,1.819328459398],[-0.328281899137,1.782872272086],[-1.931279730462,0.932656921137],[0.2192270919,0.085444645103],[0.831344009922,0.016348090961],[-0.297009658694,1.064172937818]],\"v0\":[[-0.040259950558,0.072041401912],[-0.003351325306,0.071437445409],[-0.067126588827,0.029228299441],[0.070541978654,0.010499726647],[0.065468219109,0.02139447852],[-0.064495468393,0.002051627565]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"aa50097b7d342aff4ef0","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.994317158006,1.531159029096],[-1.21863413414,0.564131710434],[-0.283411818189,0.405445054535],[-1.93875639683,-0.812581303437],[0.452065893146,1.864048731523],[-1.868159281777,1.012311413714]],\"p1\":[[-0.986076899427,1.525594551195],[-1.224722304538,0.564856400621],[-0.280373512884,0.395298614615],[-1.942422479622,-0.823295725998],[0.463352509481,1.865009165459],[-1.86636217792,1.023145931302]],\"v0\":[[0.063677765347,-0.073778294924],[-0.050362106527,0.025767914952],[0.001519755766,-0.070908469133],[-0.023418494443,-0.075036257842],[0.080064251007,-0.001691772984],[0.050252419567,0.079766057675]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[-0.994317158006,1.531159029096],[-1.21863413414,0.564131710434],[-0.283411818189,0.405445054535],[-1.93875639683,-0.812581303437],[0.452065893146,1.864048731523],[-1.868159281777,1.012311413714]],\"p1\":[[-0.986076899427,1.525594551195],[-1.224722304538,0.564856400621],[-0.280373512884,0.395298614615],[-1.942422479622,-0.823295725998],[0.463352509481,1.865009165459],[-1.86636217792,1.023145931302]],\"v0\":[[0.063677765347,-0.073778294924],[-0.050362106527,0.025767914952],[0.001519755766,-0.070908469133],[-0.023418494443,-0.075036257842],[0.080064251007,-0.001691772984],[0.050252419567,0.079766057675]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[-0.994317158006,1.531159029096],[-1.21863413414,0.564131710434],[-0.283411818189,0.405445054535],[-1.93875639683,-0.812581303437],[0.452065893146,1.864048731523],[-1.868159281777,1.012311413714]],\"p1\":[[-0.986076899427,1.525594551195],[-1.224722304538,0.564856400621],[-0.280373512884,0.395298614615],[-1.942422479622,-0.823295725998],[0.463352509481,1.865009165459],[-1.86636217792,1.023145931302]],\"v0\":[[0.063677765347,-0.073778294924],[-0.050362106527,0.025767914952],[0.001519755766,-0.070908469133],[-0.023418494443,-0.075036257842],[0.080064251007,-0.001691772984],[0.050252419567,0.079766057675]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,1]}"},{"episode_id":"8646937a70f1831a3aa3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.374259697926,1.027910076896],[-0.342288369743,-1.207108950598],[1.286896773007,1.45733091919],[-0.293855756612,0.432117038542],[-1.785481373396,-0.21691256818],[-1.172005312533,0.02791104292]],\"p1\":[[0.365324941147,1.01739930556],[-0.336924766578,-1.205512790784],[1.293486608024,1.453362542915],[-0.302723367898,0.428951641503],[-1.778962237392,-0.214360772382],[-1.160637673936,0.030583242114]],\"v0\":[[-0.07014372537,-0.084805948281],[0.044076552242,0.016763541477],[0.045708889524,-0.039285334801],[-0.074026838677,-0.031458953924],[0.072920407421,0.021476451932],[0.081780087507,0.027106994905]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[0.374259697926,1.027910076896],[-0.342288369743,-1.207108950598],[1.286896773007,1.45733091919],[-0.293855756612,0.432117038542],[-1.785481373396,-0.21691256818],[-1.172005312533,0.02791104292]],\"p1\":[[0.365324941147,1.01739930556],[-0.336924766578,-1.205512790784],[1.293486608024,1.453362542915],[-0.302723367898,0.428951641503],[-1.778962237392,-0.214360772382],[-1.160637673936,0.030583242114]],\"v0\":[[-0.07014372537,-0.084805948281],[0.044076552242,0.016763541477],[0.045708889524,-0.039285334801],[-0.074026838677,-0.031458953924],[0.072920407421,0.021476451932],[0.081780087507,0.027106994905]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[0.374259697926,1.027910076896],[-0.342288369743,-1.207108950598],[1.286896773007,1.45733091919],[-0.293855756612,0.432117038542],[-1.785481373396,-0.21691256818],[-1.172005312533,0.02791104292]],\"p1\":[[0.365324941147,1.01739930556],[-0.336924766578,-1.205512790784],[1.293486608024,1.453362542915],[-0.302723367898,0.428951641503],[-1.778962237392,-0.214360772382],[-1.160637673936,0.030583242114]],\"v0\":[[-0.07014372537,-0.084805948281],[0.044076552242,0.016763541477],[0.045708889524,-0.039285334801],[-0.074026838677,-0.031458953924],[0.072920407421,0.021476451932],[0.081780087507,0.027106994905]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,1,1,0]}"},{"episode_id":"6f171701a310ac9b057e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.880306221113,1.508731859258],[0.600454344243,1.920822210174],[1.630484170165,-1.378206248396],[-1.648034122678,0.626772689068],[0.692464897384,0.392575468319],[-1.056216867272,-0.196073725644]],\"p1\":[[-1.881308362062,1.520399169906],[0.602775158211,1.915467791215],[1.63123719458,-1.383071666821],[-1.655077437375,0.615894361385],[0.697253396997,0.387667105914],[-1.06681823112,-0.186853739516]],\"v0\":[[-0.004937233828,0.085951216707],[0.016496201699,-0.039653809594],[0.007722287198,-0.04224478186],[-0.070421164512,-0.063559949058],[0.038899537273,-0.046049556414],[-0.077630306967,0.062896624416]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[-1.880306221113,1.508731859258],[0.600454344243,1.920822210174],[1.630484170165,-1.378206248396],[-1.648034122678,0.626772689068],[0.692464897384,0.392575468319],[-1.056216867272,-0.196073725644]],\"p1\":[[-1.881308362062,1.520399169906],[0.602775158211,1.915467791215],[1.63123719458,-1.383071666821],[-1.655077437375,0.615894361385],[0.697253396997,0.387667105914],[-1.06681823112,-0.186853739516]],\"v0\":[[-0.004937233828,0.085951216707],[0.016496201699,-0.039653809594],[0.007722287198,-0.04224478186],[-0.070421164512,-0.063559949058],[0.038899537273,-0.046049556414],[-0.077630306967,0.062896624416]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,1],\"p0\":[[-1.880306221113,1.508731859258],[0.600454344243,1.920822210174],[1.630484170165,-1.378206248396],[-1.648034122678,0.626772689068],[0.692464897384,0.392575468319],[-1.056216867272,-0.196073725644]],\"p1\":[[-1.881308362062,1.520399169906],[0.602775158211,1.915467791215],[1.63123719458,-1.383071666821],[-1.655077437375,0.615894361385],[0.697253396997,0.387667105914],[-1.06681823112,-0.186853739516]],\"v0\":[[-0.004937233828,0.085951216707],[0.016496201699,-0.039653809594],[0.007722287198,-0.04224478186],[-0.070421164512,-0.063559949058],[0.038899537273,-0.046049556414],[-0.077630306967,0.062896624416]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,1,1]}"},{"episode_id":"6d16be3e4c1374f154ed","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.232548493777,1.793672721473],[0.35764854061,-2.081415561312],[-0.126455284318,2.066775243012],[-1.011171303497,-0.52408449192],[0.037921621955,-0.727440550185],[2.039017687379,1.446800775746]],\"p1\":[[1.229027690494,1.78546494914],[0.357887956576,-2.070756379763],[-0.116903347027,2.065566076562],[-1.009924729787,-0.528795323202],[0.038258067123,-0.737482177562],[2.033688167016,1.443250846534]],\"v0\":[[0.001085352431,-0.065215311228],[0.010075292723,0.07013032123],[0.076714158481,0.003667256552],[-0.008405986873,-0.037593010336],[0.014615986778,-0.082448801299],[-0.07305106613,-0.030708330791]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[1.232548493777,1.793672721473],[0.35764854061,-2.081415561312],[-0.126455284318,2.066775243012],[-1.011171303497,-0.52408449192],[0.037921621955,-0.727440550185],[2.039017687379,1.446800775746]],\"p1\":[[1.229027690494,1.78546494914],[0.357887956576,-2.070756379763],[-0.116903347027,2.065566076562],[-1.009924729787,-0.528795323202],[0.038258067123,-0.737482177562],[2.033688167016,1.443250846534]],\"v0\":[[0.001085352431,-0.065215311228],[0.010075292723,0.07013032123],[0.076714158481,0.003667256552],[-0.008405986873,-0.037593010336],[0.014615986778,-0.082448801299],[-0.07305106613,-0.030708330791]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[1.232548493777,1.793672721473],[0.35764854061,-2.081415561312],[-0.126455284318,2.066775243012],[-1.011171303497,-0.52408449192],[0.037921621955,-0.727440550185],[2.039017687379,1.446800775746]],\"p1\":[[1.229027690494,1.78546494914],[0.357887956576,-2.070756379763],[-0.116903347027,2.065566076562],[-1.009924729787,-0.528795323202],[0.038258067123,-0.737482177562],[2.033688167016,1.443250846534]],\"v0\":[[0.001085352431,-0.065215311228],[0.010075292723,0.07013032123],[0.076714158481,0.003667256552],[-0.008405986873,-0.037593010336],[0.014615986778,-0.082448801299],[-0.07305106613,-0.030708330791]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"45053129ceef5d058b97","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.275160877285,-1.118754464892],[-1.515469284372,1.484234340117],[0.00213222845,0.655678003986],[-1.302339792431,-0.981347179427],[0.346480874346,1.90097968206],[-1.340845475132,2.123924102174]],\"p1\":[[-0.266613037803,-1.128648962823],[-1.516504343522,1.479196296247],[-0.007747160576,0.65247456203],[-1.297608681679,-0.990070139811],[0.35579885172,1.897734624372],[-1.345044168683,2.138633566729]],\"v0\":[[0.058512298771,-0.072255940834],[0.007683221945,-0.01977888997],[-0.089333680433,-0.0206466793],[0.054434646016,-0.066909040473],[0.065863415278,-0.037849888035],[-0.034795019243,0.089152627999]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,1],\"p0\":[[-0.275160877285,-1.118754464892],[-1.515469284372,1.484234340117],[0.00213222845,0.655678003986],[-1.302339792431,-0.981347179427],[0.346480874346,1.90097968206],[-1.340845475132,2.123924102174]],\"p1\":[[-0.266613037803,-1.128648962823],[-1.516504343522,1.479196296247],[-0.007747160576,0.65247456203],[-1.297608681679,-0.990070139811],[0.35579885172,1.897734624372],[-1.345044168683,2.138633566729]],\"v0\":[[0.058512298771,-0.072255940834],[0.007683221945,-0.01977888997],[-0.089333680433,-0.0206466793],[0.054434646016,-0.066909040473],[0.065863415278,-0.037849888035],[-0.034795019243,0.089152627999]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[-0.275160877285,-1.118754464892],[-1.515469284372,1.484234340117],[0.00213222845,0.655678003986],[-1.302339792431,-0.981347179427],[0.346480874346,1.90097968206],[-1.340845475132,2.123924102174]],\"p1\":[[-0.266613037803,-1.128648962823],[-1.516504343522,1.479196296247],[-0.007747160576,0.65247456203],[-1.297608681679,-0.990070139811],[0.35579885172,1.897734624372],[-1.345044168683,2.138633566729]],\"v0\":[[0.058512298771,-0.072255940834],[0.007683221945,-0.01977888997],[-0.089333680433,-0.0206466793],[0.054434646016,-0.066909040473],[0.065863415278,-0.037849888035],[-0.034795019243,0.089152627999]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,0,1]}"},{"episode_id":"be32ea496e92309471f8","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.013118946142,-1.351815391033],[-0.866726422175,1.269730447735],[-1.609219442581,0.274244457931],[1.437349388643,-0.521093218411],[-1.67261473542,-1.015246541276],[-0.412996378433,-1.721709639086]],\"p1\":[[1.003924029422,-1.353651310087],[-0.857435444029,1.266282145538],[-1.60242121709,0.268252611975],[1.439608910452,-0.523675352991],[-1.659835440636,-1.004140604514],[-0.412232355966,-1.72547141523]],\"v0\":[[-0.062261517324,-0.032729234652],[0.078969269571,-0.002790871771],[0.03890736706,-0.039199651705],[0.043783963268,-0.008337787663],[0.08571988451,0.080833295241],[0.00402374937,-0.052059425874]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,0],\"p0\":[[1.013118946142,-1.351815391033],[-0.866726422175,1.269730447735],[-1.609219442581,0.274244457931],[1.437349388643,-0.521093218411],[-1.67261473542,-1.015246541276],[-0.412996378433,-1.721709639086]],\"p1\":[[1.003924029422,-1.353651310087],[-0.857435444029,1.266282145538],[-1.60242121709,0.268252611975],[1.439608910452,-0.523675352991],[-1.659835440636,-1.004140604514],[-0.412232355966,-1.72547141523]],\"v0\":[[-0.062261517324,-0.032729234652],[0.078969269571,-0.002790871771],[0.03890736706,-0.039199651705],[0.043783963268,-0.008337787663],[0.08571988451,0.080833295241],[0.00402374937,-0.052059425874]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[1.013118946142,-1.351815391033],[-0.866726422175,1.269730447735],[-1.609219442581,0.274244457931],[1.437349388643,-0.521093218411],[-1.67261473542,-1.015246541276],[-0.412996378433,-1.721709639086]],\"p1\":[[1.003924029422,-1.353651310087],[-0.857435444029,1.266282145538],[-1.60242121709,0.268252611975],[1.439608910452,-0.523675352991],[-1.659835440636,-1.004140604514],[-0.412232355966,-1.72547141523]],\"v0\":[[-0.062261517324,-0.032729234652],[0.078969269571,-0.002790871771],[0.03890736706,-0.039199651705],[0.043783963268,-0.008337787663],[0.08571988451,0.080833295241],[0.00402374937,-0.052059425874]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"583c82fbcefd37bb21d6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.616963909054,-0.396479798016],[-1.835187692557,1.578441518057],[-0.636860045389,-0.880117253285],[-1.51153067041,0.351332045631],[-0.045939587357,-2.031833675812],[-1.12544354981,0.765558810111]],\"p1\":[[0.613832363677,-0.402681368659],[-1.826260397468,1.583597992404],[-0.628560005296,-0.885740167727],[-1.506502951197,0.340508049906],[-0.046094184223,-2.043926145448],[-1.116376596225,0.766007292881]],\"v0\":[[-0.041484660631,-0.055034661674],[0.086638573715,0.022404086846],[0.074401120115,-0.040135523578],[0.072377298035,-0.061941267757],[-0.005277579,-0.085354022456],[0.046977462239,-0.022738555793]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[0.616963909054,-0.396479798016],[-1.835187692557,1.578441518057],[-0.636860045389,-0.880117253285],[-1.51153067041,0.351332045631],[-0.045939587357,-2.031833675812],[-1.12544354981,0.765558810111]],\"p1\":[[0.613832363677,-0.402681368659],[-1.826260397468,1.583597992404],[-0.628560005296,-0.885740167727],[-1.506502951197,0.340508049906],[-0.046094184223,-2.043926145448],[-1.116376596225,0.766007292881]],\"v0\":[[-0.041484660631,-0.055034661674],[0.086638573715,0.022404086846],[0.074401120115,-0.040135523578],[0.072377298035,-0.061941267757],[-0.005277579,-0.085354022456],[0.046977462239,-0.022738555793]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[0.616963909054,-0.396479798016],[-1.835187692557,1.578441518057],[-0.636860045389,-0.880117253285],[-1.51153067041,0.351332045631],[-0.045939587357,-2.031833675812],[-1.12544354981,0.765558810111]],\"p1\":[[0.613832363677,-0.402681368659],[-1.826260397468,1.583597992404],[-0.628560005296,-0.885740167727],[-1.506502951197,0.340508049906],[-0.046094184223,-2.043926145448],[-1.116376596225,0.766007292881]],\"v0\":[[-0.041484660631,-0.055034661674],[0.086638573715,0.022404086846],[0.074401120115,-0.040135523578],[0.072377298035,-0.061941267757],[-0.005277579,-0.085354022456],[0.046977462239,-0.022738555793]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"d7358bb4f477e3ad03ae","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.431555040933,0.445083548546],[1.976826169627,-2.130980836585],[-0.995514586552,-1.954992939324],[-0.771841920698,-0.968617666843],[-0.00089409738,-0.199739293835],[-0.591555621649,0.832208839502]],\"p1\":[[0.442421340531,0.438777154964],[1.975583520651,-2.121129536762],[-0.985660611337,-1.958328451222],[-0.770326766624,-0.970948861023],[0.007081969062,-0.197667700557],[-0.59246396873,0.825539133754]],\"v0\":[[0.083572948367,-0.030949624961],[-0.006207017186,0.078728316882],[0.074938747079,-0.019666572878],[0.02728399801,-0.027637999647],[0.04158702027,0.013792177205],[0.012661797377,-0.070265565835]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[0.431555040933,0.445083548546],[1.976826169627,-2.130980836585],[-0.995514586552,-1.954992939324],[-0.771841920698,-0.968617666843],[-0.00089409738,-0.199739293835],[-0.591555621649,0.832208839502]],\"p1\":[[0.442421340531,0.438777154964],[1.975583520651,-2.121129536762],[-0.985660611337,-1.958328451222],[-0.770326766624,-0.970948861023],[0.007081969062,-0.197667700557],[-0.59246396873,0.825539133754]],\"v0\":[[0.083572948367,-0.030949624961],[-0.006207017186,0.078728316882],[0.074938747079,-0.019666572878],[0.02728399801,-0.027637999647],[0.04158702027,0.013792177205],[0.012661797377,-0.070265565835]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[0.431555040933,0.445083548546],[1.976826169627,-2.130980836585],[-0.995514586552,-1.954992939324],[-0.771841920698,-0.968617666843],[-0.00089409738,-0.199739293835],[-0.591555621649,0.832208839502]],\"p1\":[[0.442421340531,0.438777154964],[1.975583520651,-2.121129536762],[-0.985660611337,-1.958328451222],[-0.770326766624,-0.970948861023],[0.007081969062,-0.197667700557],[-0.59246396873,0.825539133754]],\"v0\":[[0.083572948367,-0.030949624961],[-0.006207017186,0.078728316882],[0.074938747079,-0.019666572878],[0.02728399801,-0.027637999647],[0.04158702027,0.013792177205],[0.012661797377,-0.070265565835]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,1]}"},{"episode_id":"4e940dc790a816545990","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.286343622904,-0.081857572393],[-1.582744620394,0.938963645947],[-1.066287971056,-0.582538772859],[0.804253726554,-0.385297388863],[0.470020690304,0.173401411059],[1.7857103919,0.893279744334]],\"p1\":[[-0.29235046688,-0.080568862096],[-1.592461534622,0.933282391061],[-1.058896663473,-0.57758433397],[0.809524331222,-0.387640744492],[0.473355018357,0.173470632673],[1.795386489989,0.890368773617]],\"v0\":[[-0.044363669482,0.005489796],[-0.080919187587,-0.049429328912],[0.04815734446,0.040280280489],[0.051168152471,-0.046852262186],[0.030439105024,0.03440472181],[0.078423090025,-0.02241996079]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[-0.286343622904,-0.081857572393],[-1.582744620394,0.938963645947],[-1.066287971056,-0.582538772859],[0.804253726554,-0.385297388863],[0.470020690304,0.173401411059],[1.7857103919,0.893279744334]],\"p1\":[[-0.29235046688,-0.080568862096],[-1.592461534622,0.933282391061],[-1.058896663473,-0.57758433397],[0.809524331222,-0.387640744492],[0.473355018357,0.173470632673],[1.795386489989,0.890368773617]],\"v0\":[[-0.044363669482,0.005489796],[-0.080919187587,-0.049429328912],[0.04815734446,0.040280280489],[0.051168152471,-0.046852262186],[0.030439105024,0.03440472181],[0.078423090025,-0.02241996079]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-0.286343622904,-0.081857572393],[-1.582744620394,0.938963645947],[-1.066287971056,-0.582538772859],[0.804253726554,-0.385297388863],[0.470020690304,0.173401411059],[1.7857103919,0.893279744334]],\"p1\":[[-0.29235046688,-0.080568862096],[-1.592461534622,0.933282391061],[-1.058896663473,-0.57758433397],[0.809524331222,-0.387640744492],[0.473355018357,0.173470632673],[1.795386489989,0.890368773617]],\"v0\":[[-0.044363669482,0.005489796],[-0.080919187587,-0.049429328912],[0.04815734446,0.040280280489],[0.051168152471,-0.046852262186],[0.030439105024,0.03440472181],[0.078423090025,-0.02241996079]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"b2c8d8bff3ced55ed630","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.223111363475,-0.92758538632],[0.324275758476,2.120017957355],[0.538776827011,0.794868029038],[-0.29494539459,1.479535160585],[-2.053443963673,1.523017702532],[1.61191785068,-0.338800907204]],\"p1\":[[-0.232063198875,-0.921943183618],[0.328238993919,2.112408710266],[0.540014651133,0.801398171055],[-0.294500328998,1.488322906871],[-2.049381766629,1.529349693957],[1.603983335448,-0.331781120223]],\"v0\":[[-0.068473747171,0.028118561175],[0.0509832112,-0.040591414744],[0.036384224856,0.034714450454],[-0.005165912888,0.072354635441],[0.015299961809,0.055163858595],[-0.088844641394,0.072761761752]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,0],\"p0\":[[-0.223111363475,-0.92758538632],[0.324275758476,2.120017957355],[0.538776827011,0.794868029038],[-0.29494539459,1.479535160585],[-2.053443963673,1.523017702532],[1.61191785068,-0.338800907204]],\"p1\":[[-0.232063198875,-0.921943183618],[0.328238993919,2.112408710266],[0.540014651133,0.801398171055],[-0.294500328998,1.488322906871],[-2.049381766629,1.529349693957],[1.603983335448,-0.331781120223]],\"v0\":[[-0.068473747171,0.028118561175],[0.0509832112,-0.040591414744],[0.036384224856,0.034714450454],[-0.005165912888,0.072354635441],[0.015299961809,0.055163858595],[-0.088844641394,0.072761761752]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-0.223111363475,-0.92758538632],[0.324275758476,2.120017957355],[0.538776827011,0.794868029038],[-0.29494539459,1.479535160585],[-2.053443963673,1.523017702532],[1.61191785068,-0.338800907204]],\"p1\":[[-0.232063198875,-0.921943183618],[0.328238993919,2.112408710266],[0.540014651133,0.801398171055],[-0.294500328998,1.488322906871],[-2.049381766629,1.529349693957],[1.603983335448,-0.331781120223]],\"v0\":[[-0.068473747171,0.028118561175],[0.0509832112,-0.040591414744],[0.036384224856,0.034714450454],[-0.005165912888,0.072354635441],[0.015299961809,0.055163858595],[-0.088844641394,0.072761761752]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"cc11b005011bb4281d2c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.947021527262,-0.034356882573],[-0.905699642469,1.262442860111],[0.892953339251,-0.458504865162],[-1.710705519011,-1.923379166189],[0.996499801455,-1.344238911109],[0.255100621021,1.479324228534]],\"p1\":[[-1.944110137566,-0.04289163506],[-0.91492304962,1.254685256946],[0.892060283937,-0.466745614665],[-1.718479375176,-1.930983631701],[0.994849011401,-1.339036024493],[0.246070589285,1.473195383397]],\"v0\":[[0.032561182731,-0.070700702563],[-0.068173550086,-0.070795853666],[-0.01131295875,-0.081202151828],[-0.061257092371,-0.056223114219],[-0.020050307852,0.063087676862],[-0.085598529704,-0.059695264487]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[-1.947021527262,-0.034356882573],[-0.905699642469,1.262442860111],[0.892953339251,-0.458504865162],[-1.710705519011,-1.923379166189],[0.996499801455,-1.344238911109],[0.255100621021,1.479324228534]],\"p1\":[[-1.944110137566,-0.04289163506],[-0.91492304962,1.254685256946],[0.892060283937,-0.466745614665],[-1.718479375176,-1.930983631701],[0.994849011401,-1.339036024493],[0.246070589285,1.473195383397]],\"v0\":[[0.032561182731,-0.070700702563],[-0.068173550086,-0.070795853666],[-0.01131295875,-0.081202151828],[-0.061257092371,-0.056223114219],[-0.020050307852,0.063087676862],[-0.085598529704,-0.059695264487]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[-1.947021527262,-0.034356882573],[-0.905699642469,1.262442860111],[0.892953339251,-0.458504865162],[-1.710705519011,-1.923379166189],[0.996499801455,-1.344238911109],[0.255100621021,1.479324228534]],\"p1\":[[-1.944110137566,-0.04289163506],[-0.91492304962,1.254685256946],[0.892060283937,-0.466745614665],[-1.718479375176,-1.930983631701],[0.994849011401,-1.339036024493],[0.246070589285,1.473195383397]],\"v0\":[[0.032561182731,-0.070700702563],[-0.068173550086,-0.070795853666],[-0.01131295875,-0.081202151828],[-0.061257092371,-0.056223114219],[-0.020050307852,0.063087676862],[-0.085598529704,-0.059695264487]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,1,0]}"},{"episode_id":"58ae5c4591bc00ca4d73","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.148152347651,-0.871113741323],[1.275000869182,-0.127115399775],[-0.627046490118,1.410614272052],[-2.157041861114,-1.606137595387],[1.934580317325,0.943594081758],[-0.47806416231,-0.138602506723]],\"p1\":[[-0.150249459891,-0.873794793493],[1.273775878765,-0.132515634987],[-0.622667015977,1.416833176612],[-2.164415470184,-1.596453043464],[1.937498605601,0.940699573107],[-0.478482314965,-0.148994809451]],\"v0\":[[-0.014738897604,-0.048955816518],[0.0079412082,-0.052518477502],[0.026353627108,0.075312315385],[-0.080533209508,0.067338814941],[0.046958116986,-0.008416804675],[-0.017781694895,-0.078298717262]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-0.148152347651,-0.871113741323],[1.275000869182,-0.127115399775],[-0.627046490118,1.410614272052],[-2.157041861114,-1.606137595387],[1.934580317325,0.943594081758],[-0.47806416231,-0.138602506723]],\"p1\":[[-0.150249459891,-0.873794793493],[1.273775878765,-0.132515634987],[-0.622667015977,1.416833176612],[-2.164415470184,-1.596453043464],[1.937498605601,0.940699573107],[-0.478482314965,-0.148994809451]],\"v0\":[[-0.014738897604,-0.048955816518],[0.0079412082,-0.052518477502],[0.026353627108,0.075312315385],[-0.080533209508,0.067338814941],[0.046958116986,-0.008416804675],[-0.017781694895,-0.078298717262]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[-0.148152347651,-0.871113741323],[1.275000869182,-0.127115399775],[-0.627046490118,1.410614272052],[-2.157041861114,-1.606137595387],[1.934580317325,0.943594081758],[-0.47806416231,-0.138602506723]],\"p1\":[[-0.150249459891,-0.873794793493],[1.273775878765,-0.132515634987],[-0.622667015977,1.416833176612],[-2.164415470184,-1.596453043464],[1.937498605601,0.940699573107],[-0.478482314965,-0.148994809451]],\"v0\":[[-0.014738897604,-0.048955816518],[0.0079412082,-0.052518477502],[0.026353627108,0.075312315385],[-0.080533209508,0.067338814941],[0.046958116986,-0.008416804675],[-0.017781694895,-0.078298717262]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,1]}"},{"episode_id":"9a5205130eaae57a56e1","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.541709718386,0.84841692319],[-0.802382332039,-1.139331634498],[0.563121901435,-0.774142658433],[-1.572874454224,-1.352874164605],[-1.670932814936,1.488990253251],[0.352625603034,1.859596163504]],\"p1\":[[-0.532006938294,0.846592240656],[-0.798570444057,-1.136896496181],[0.568416256594,-0.768339189288],[-1.567758587476,-1.354939476584],[-1.665337195111,1.498338785059],[0.353400374387,1.851028535079]],\"v0\":[[0.07938092049,-0.014119169939],[0.019067062307,0.023145518052],[0.03133018128,0.051889845782],[0.066752940948,-0.006099848236],[0.058725548008,0.069895603978],[-0.002795976707,-0.081965980207]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[-0.541709718386,0.84841692319],[-0.802382332039,-1.139331634498],[0.563121901435,-0.774142658433],[-1.572874454224,-1.352874164605],[-1.670932814936,1.488990253251],[0.352625603034,1.859596163504]],\"p1\":[[-0.532006938294,0.846592240656],[-0.798570444057,-1.136896496181],[0.568416256594,-0.768339189288],[-1.567758587476,-1.354939476584],[-1.665337195111,1.498338785059],[0.353400374387,1.851028535079]],\"v0\":[[0.07938092049,-0.014119169939],[0.019067062307,0.023145518052],[0.03133018128,0.051889845782],[0.066752940948,-0.006099848236],[0.058725548008,0.069895603978],[-0.002795976707,-0.081965980207]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[-0.541709718386,0.84841692319],[-0.802382332039,-1.139331634498],[0.563121901435,-0.774142658433],[-1.572874454224,-1.352874164605],[-1.670932814936,1.488990253251],[0.352625603034,1.859596163504]],\"p1\":[[-0.532006938294,0.846592240656],[-0.798570444057,-1.136896496181],[0.568416256594,-0.768339189288],[-1.567758587476,-1.354939476584],[-1.665337195111,1.498338785059],[0.353400374387,1.851028535079]],\"v0\":[[0.07938092049,-0.014119169939],[0.019067062307,0.023145518052],[0.03133018128,0.051889845782],[0.066752940948,-0.006099848236],[0.058725548008,0.069895603978],[-0.002795976707,-0.081965980207]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"34c0b8ebeb0ff266997b","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.959465345456,0.942017604259],[0.750376538235,-1.590512521489],[-1.442390299088,2.030840409278],[-0.880738095736,0.458737121615],[-1.996722119684,0.469932516303],[1.130353382587,1.423582174219]],\"p1\":[[1.969840304456,0.942496210341],[0.752764709501,-1.591220315969],[-1.449343392812,2.024456741071],[-0.875155505819,0.449680867515],[-2.007666985512,0.480988731234],[1.13252480356,1.428626536652]],\"v0\":[[0.073731799172,0.017441748151],[0.016598832481,-0.004693041608],[-0.051874669794,-0.055994450648],[0.028648252966,-0.06108163794],[-0.078905548268,0.080520216372],[0.033627846793,0.027402721174]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,1],\"p0\":[[1.959465345456,0.942017604259],[0.750376538235,-1.590512521489],[-1.442390299088,2.030840409278],[-0.880738095736,0.458737121615],[-1.996722119684,0.469932516303],[1.130353382587,1.423582174219]],\"p1\":[[1.969840304456,0.942496210341],[0.752764709501,-1.591220315969],[-1.449343392812,2.024456741071],[-0.875155505819,0.449680867515],[-2.007666985512,0.480988731234],[1.13252480356,1.428626536652]],\"v0\":[[0.073731799172,0.017441748151],[0.016598832481,-0.004693041608],[-0.051874669794,-0.055994450648],[0.028648252966,-0.06108163794],[-0.078905548268,0.080520216372],[0.033627846793,0.027402721174]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[1.959465345456,0.942017604259],[0.750376538235,-1.590512521489],[-1.442390299088,2.030840409278],[-0.880738095736,0.458737121615],[-1.996722119684,0.469932516303],[1.130353382587,1.423582174219]],\"p1\":[[1.969840304456,0.942496210341],[0.752764709501,-1.591220315969],[-1.449343392812,2.024456741071],[-0.875155505819,0.449680867515],[-2.007666985512,0.480988731234],[1.13252480356,1.428626536652]],\"v0\":[[0.073731799172,0.017441748151],[0.016598832481,-0.004693041608],[-0.051874669794,-0.055994450648],[0.028648252966,-0.06108163794],[-0.078905548268,0.080520216372],[0.033627846793,0.027402721174]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"fb779cf2531bcc6e2cac","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.140920882509,-2.043629987218],[-2.100889838493,-0.918170125156],[-2.09379168239,-1.982948610976],[0.326302910094,-0.465131475254],[-1.121013761975,-0.121514113739],[-1.546828099707,-1.381327785363]],\"p1\":[[-0.134481976418,-2.033799169019],[-2.100206457017,-0.926041433891],[-2.10594214005,-1.972552491955],[0.319122113937,-0.465594630631],[-1.129220847456,-0.125165751357],[-1.538868283714,-1.381578191719]],\"v0\":[[0.047024445228,0.075406247578],[-0.006687130603,-0.030364166467],[-0.087008682645,0.08523531527],[-0.062405894986,0.004544848161],[-0.066370139136,-0.024335071219],[0.071645437654,-0.043900263884]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,0],\"p0\":[[-0.140920882509,-2.043629987218],[-2.100889838493,-0.918170125156],[-2.09379168239,-1.982948610976],[0.326302910094,-0.465131475254],[-1.121013761975,-0.121514113739],[-1.546828099707,-1.381327785363]],\"p1\":[[-0.134481976418,-2.033799169019],[-2.100206457017,-0.926041433891],[-2.10594214005,-1.972552491955],[0.319122113937,-0.465594630631],[-1.129220847456,-0.125165751357],[-1.538868283714,-1.381578191719]],\"v0\":[[0.047024445228,0.075406247578],[-0.006687130603,-0.030364166467],[-0.087008682645,0.08523531527],[-0.062405894986,0.004544848161],[-0.066370139136,-0.024335071219],[0.071645437654,-0.043900263884]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[-0.140920882509,-2.043629987218],[-2.100889838493,-0.918170125156],[-2.09379168239,-1.982948610976],[0.326302910094,-0.465131475254],[-1.121013761975,-0.121514113739],[-1.546828099707,-1.381327785363]],\"p1\":[[-0.134481976418,-2.033799169019],[-2.100206457017,-0.926041433891],[-2.10594214005,-1.972552491955],[0.319122113937,-0.465594630631],[-1.129220847456,-0.125165751357],[-1.538868283714,-1.381578191719]],\"v0\":[[0.047024445228,0.075406247578],[-0.006687130603,-0.030364166467],[-0.087008682645,0.08523531527],[-0.062405894986,0.004544848161],[-0.066370139136,-0.024335071219],[0.071645437654,-0.043900263884]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"3a1b68294a7b579e4f66","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.103328757128,-1.793193054884],[-0.076556166656,1.055573837488],[-0.289688756008,-0.409435464445],[1.02403946238,0.895364568407],[-1.174603886746,1.631367125217],[-0.93435531643,-0.957895277175]],\"p1\":[[1.10110929167,-1.789201416693],[-0.066655334062,1.053145958763],[-0.295446942494,-0.397410448893],[1.025485650318,0.904492999856],[-1.182796732158,1.622353777109],[-0.937051640617,-0.97031997763]],\"v0\":[[-0.021503071947,0.048453054313],[0.080708227173,-0.024498687836],[-0.059323018645,0.063849322794],[0.032095619671,0.068781206859],[-0.084251472336,-0.070436338984],[-0.010391292332,-0.075488907965]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,0],\"p0\":[[1.103328757128,-1.793193054884],[-0.076556166656,1.055573837488],[-0.289688756008,-0.409435464445],[1.02403946238,0.895364568407],[-1.174603886746,1.631367125217],[-0.93435531643,-0.957895277175]],\"p1\":[[1.10110929167,-1.789201416693],[-0.066655334062,1.053145958763],[-0.295446942494,-0.397410448893],[1.025485650318,0.904492999856],[-1.182796732158,1.622353777109],[-0.937051640617,-0.97031997763]],\"v0\":[[-0.021503071947,0.048453054313],[0.080708227173,-0.024498687836],[-0.059323018645,0.063849322794],[0.032095619671,0.068781206859],[-0.084251472336,-0.070436338984],[-0.010391292332,-0.075488907965]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,0],\"p0\":[[1.103328757128,-1.793193054884],[-0.076556166656,1.055573837488],[-0.289688756008,-0.409435464445],[1.02403946238,0.895364568407],[-1.174603886746,1.631367125217],[-0.93435531643,-0.957895277175]],\"p1\":[[1.10110929167,-1.789201416693],[-0.066655334062,1.053145958763],[-0.295446942494,-0.397410448893],[1.025485650318,0.904492999856],[-1.182796732158,1.622353777109],[-0.937051640617,-0.97031997763]],\"v0\":[[-0.021503071947,0.048453054313],[0.080708227173,-0.024498687836],[-0.059323018645,0.063849322794],[0.032095619671,0.068781206859],[-0.084251472336,-0.070436338984],[-0.010391292332,-0.075488907965]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,0]}"},{"episode_id":"41ab43d2c452f8dd8b07","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.489930340301,0.514936362355],[-0.318306431102,1.845017058678],[-0.38088636699,-0.558170329374],[-0.015856209619,-1.136663593705],[1.942876462268,1.030990566513],[-1.378694182757,1.43012011355]],\"p1\":[[-1.487430234255,0.512693610964],[-0.325588623618,1.843612414282],[-0.384403260646,-0.562897328814],[-0.02093413689,-1.135601411288],[1.94207930984,1.033973896508],[-1.378144882201,1.437336643911]],\"v0\":[[0.033047052797,-0.005762241473],[-0.071168652366,-0.023845677827],[-0.018676629565,-0.052348908301],[-0.058684992719,0.038456776315],[-0.014019884597,0.02341083617],[0.01596344587,0.044152944677]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,0,0],\"p0\":[[-1.489930340301,0.514936362355],[-0.318306431102,1.845017058678],[-0.38088636699,-0.558170329374],[-0.015856209619,-1.136663593705],[1.942876462268,1.030990566513],[-1.378694182757,1.43012011355]],\"p1\":[[-1.487430234255,0.512693610964],[-0.325588623618,1.843612414282],[-0.384403260646,-0.562897328814],[-0.02093413689,-1.135601411288],[1.94207930984,1.033973896508],[-1.378144882201,1.437336643911]],\"v0\":[[0.033047052797,-0.005762241473],[-0.071168652366,-0.023845677827],[-0.018676629565,-0.052348908301],[-0.058684992719,0.038456776315],[-0.014019884597,0.02341083617],[0.01596344587,0.044152944677]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[-1.489930340301,0.514936362355],[-0.318306431102,1.845017058678],[-0.38088636699,-0.558170329374],[-0.015856209619,-1.136663593705],[1.942876462268,1.030990566513],[-1.378694182757,1.43012011355]],\"p1\":[[-1.487430234255,0.512693610964],[-0.325588623618,1.843612414282],[-0.384403260646,-0.562897328814],[-0.02093413689,-1.135601411288],[1.94207930984,1.033973896508],[-1.378144882201,1.437336643911]],\"v0\":[[0.033047052797,-0.005762241473],[-0.071168652366,-0.023845677827],[-0.018676629565,-0.052348908301],[-0.058684992719,0.038456776315],[-0.014019884597,0.02341083617],[0.01596344587,0.044152944677]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"507ed4930da066731a21","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.749993671132,2.087172335952],[0.842542340152,-0.002266914465],[-1.350158220061,-1.640083789674],[-1.438886338104,0.092545203166],[1.349187174203,1.116817204464],[1.778765935631,0.115556271339]],\"p1\":[[-1.757781539017,2.080078531135],[0.845934281055,0.005256900155],[-1.351298350491,-1.639317974499],[-1.435651915784,0.089010322859],[1.345354722855,1.107338079123],[1.778576257471,0.127463246516]],\"v0\":[[-0.077083079196,-0.042577004527],[0.022850517467,0.050603069628],[-0.01895772628,-0.013362099406],[0.012391682188,-0.029699071579],[-0.020946522374,-0.053780767437],[0.029047089861,0.089555827525]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-1.749993671132,2.087172335952],[0.842542340152,-0.002266914465],[-1.350158220061,-1.640083789674],[-1.438886338104,0.092545203166],[1.349187174203,1.116817204464],[1.778765935631,0.115556271339]],\"p1\":[[-1.757781539017,2.080078531135],[0.845934281055,0.005256900155],[-1.351298350491,-1.639317974499],[-1.435651915784,0.089010322859],[1.345354722855,1.107338079123],[1.778576257471,0.127463246516]],\"v0\":[[-0.077083079196,-0.042577004527],[0.022850517467,0.050603069628],[-0.01895772628,-0.013362099406],[0.012391682188,-0.029699071579],[-0.020946522374,-0.053780767437],[0.029047089861,0.089555827525]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-1.749993671132,2.087172335952],[0.842542340152,-0.002266914465],[-1.350158220061,-1.640083789674],[-1.438886338104,0.092545203166],[1.349187174203,1.116817204464],[1.778765935631,0.115556271339]],\"p1\":[[-1.757781539017,2.080078531135],[0.845934281055,0.005256900155],[-1.351298350491,-1.639317974499],[-1.435651915784,0.089010322859],[1.345354722855,1.107338079123],[1.778576257471,0.127463246516]],\"v0\":[[-0.077083079196,-0.042577004527],[0.022850517467,0.050603069628],[-0.01895772628,-0.013362099406],[0.012391682188,-0.029699071579],[-0.020946522374,-0.053780767437],[0.029047089861,0.089555827525]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"9bd167d1e0e0dac121df","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.868109664568,-0.218541874805],[1.607162431535,0.820948236945],[0.332221743871,-0.478576671039],[-1.952736434185,0.775879886321],[-0.200707752319,-0.097954813931],[0.074753151374,2.116475310258]],\"p1\":[[0.880477947385,-0.209973765955],[1.608342159744,0.816380882749],[0.340553850787,-0.485563285459],[-1.945022828368,0.776274869221],[-0.20845858544,-0.097953121566],[0.07909494524,2.110930461214]],\"v0\":[[0.063197198837,0.067291875375],[-0.005031560018,-0.047406688444],[0.077548896333,-0.020031959604],[0.074093409323,0.001437357412],[-0.029070654144,-0.01210822261],[0.037468413864,-0.056965975012]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,0],\"p0\":[[0.868109664568,-0.218541874805],[1.607162431535,0.820948236945],[0.332221743871,-0.478576671039],[-1.952736434185,0.775879886321],[-0.200707752319,-0.097954813931],[0.074753151374,2.116475310258]],\"p1\":[[0.880477947385,-0.209973765955],[1.608342159744,0.816380882749],[0.340553850787,-0.485563285459],[-1.945022828368,0.776274869221],[-0.20845858544,-0.097953121566],[0.07909494524,2.110930461214]],\"v0\":[[0.063197198837,0.067291875375],[-0.005031560018,-0.047406688444],[0.077548896333,-0.020031959604],[0.074093409323,0.001437357412],[-0.029070654144,-0.01210822261],[0.037468413864,-0.056965975012]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[0.868109664568,-0.218541874805],[1.607162431535,0.820948236945],[0.332221743871,-0.478576671039],[-1.952736434185,0.775879886321],[-0.200707752319,-0.097954813931],[0.074753151374,2.116475310258]],\"p1\":[[0.880477947385,-0.209973765955],[1.608342159744,0.816380882749],[0.340553850787,-0.485563285459],[-1.945022828368,0.776274869221],[-0.20845858544,-0.097953121566],[0.07909494524,2.110930461214]],\"v0\":[[0.063197198837,0.067291875375],[-0.005031560018,-0.047406688444],[0.077548896333,-0.020031959604],[0.074093409323,0.001437357412],[-0.029070654144,-0.01210822261],[0.037468413864,-0.056965975012]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"e8dc2f7789e17b34a467","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.968937779619,1.683101839912],[-1.918941425274,1.377636064415],[-1.066200607549,0.311131311204],[-1.293275822798,1.638728498794],[1.153070638545,-2.08682313337],[-0.995531654425,-0.304290431307]],\"p1\":[[1.960503143828,1.681165757984],[-1.931889688076,1.375255182793],[-1.055501968361,0.316159280822],[-1.283774075396,1.640331130592],[1.158595054217,-2.095683906424],[-0.989133319858,-0.298108510793]],\"v0\":[[-0.069755900137,-0.020467290772],[-0.085468242492,-0.011307025916],[0.085883229895,0.013672013661],[0.057932097893,0.006287065686],[0.048076160728,-0.069879965174],[0.052834639425,0.078651746891]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[1.968937779619,1.683101839912],[-1.918941425274,1.377636064415],[-1.066200607549,0.311131311204],[-1.293275822798,1.638728498794],[1.153070638545,-2.08682313337],[-0.995531654425,-0.304290431307]],\"p1\":[[1.960503143828,1.681165757984],[-1.931889688076,1.375255182793],[-1.055501968361,0.316159280822],[-1.283774075396,1.640331130592],[1.158595054217,-2.095683906424],[-0.989133319858,-0.298108510793]],\"v0\":[[-0.069755900137,-0.020467290772],[-0.085468242492,-0.011307025916],[0.085883229895,0.013672013661],[0.057932097893,0.006287065686],[0.048076160728,-0.069879965174],[0.052834639425,0.078651746891]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[1.968937779619,1.683101839912],[-1.918941425274,1.377636064415],[-1.066200607549,0.311131311204],[-1.293275822798,1.638728498794],[1.153070638545,-2.08682313337],[-0.995531654425,-0.304290431307]],\"p1\":[[1.960503143828,1.681165757984],[-1.931889688076,1.375255182793],[-1.055501968361,0.316159280822],[-1.283774075396,1.640331130592],[1.158595054217,-2.095683906424],[-0.989133319858,-0.298108510793]],\"v0\":[[-0.069755900137,-0.020467290772],[-0.085468242492,-0.011307025916],[0.085883229895,0.013672013661],[0.057932097893,0.006287065686],[0.048076160728,-0.069879965174],[0.052834639425,0.078651746891]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"8c3567a315a9cd8d4f76","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.011795956677,-0.207588444615],[0.16412516195,0.253889845473],[-1.700915771606,0.420790426417],[0.067420115261,-2.047862232822],[1.933038222502,-0.236472224957],[0.593915039012,1.224136078705]],\"p1\":[[-1.002335811067,-0.20804315261],[0.158463145695,0.257622816282],[-1.696582394255,0.416377603473],[0.05833122623,-2.049801391752],[1.940488022953,-0.230817400554],[0.589171328312,1.22104280263]],\"v0\":[[0.076438372341,0.005057529492],[-0.060352669986,0.013359785259],[0.051257371363,-0.049791205981],[-0.076805689007,-0.009338681468],[0.056295478317,0.044318016522],[-0.032260301141,-0.00787353327]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-1.011795956677,-0.207588444615],[0.16412516195,0.253889845473],[-1.700915771606,0.420790426417],[0.067420115261,-2.047862232822],[1.933038222502,-0.236472224957],[0.593915039012,1.224136078705]],\"p1\":[[-1.002335811067,-0.20804315261],[0.158463145695,0.257622816282],[-1.696582394255,0.416377603473],[0.05833122623,-2.049801391752],[1.940488022953,-0.230817400554],[0.589171328312,1.22104280263]],\"v0\":[[0.076438372341,0.005057529492],[-0.060352669986,0.013359785259],[0.051257371363,-0.049791205981],[-0.076805689007,-0.009338681468],[0.056295478317,0.044318016522],[-0.032260301141,-0.00787353327]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-1.011795956677,-0.207588444615],[0.16412516195,0.253889845473],[-1.700915771606,0.420790426417],[0.067420115261,-2.047862232822],[1.933038222502,-0.236472224957],[0.593915039012,1.224136078705]],\"p1\":[[-1.002335811067,-0.20804315261],[0.158463145695,0.257622816282],[-1.696582394255,0.416377603473],[0.05833122623,-2.049801391752],[1.940488022953,-0.230817400554],[0.589171328312,1.22104280263]],\"v0\":[[0.076438372341,0.005057529492],[-0.060352669986,0.013359785259],[0.051257371363,-0.049791205981],[-0.076805689007,-0.009338681468],[0.056295478317,0.044318016522],[-0.032260301141,-0.00787353327]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,0,0,1]}"},{"episode_id":"8622f5f1ebd60dae8057","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.376150256324,-1.802575831496],[1.660556398608,1.133254843413],[-0.534048714821,-1.431239730509],[-1.966955346122,-0.49221753632],[-1.562118356705,-1.128953352037],[0.444888405293,-0.482535843966]],\"p1\":[[-1.386508427928,-1.796925787571],[1.649626141673,1.135733078611],[-0.524907252179,-1.433318156261],[-1.963842291975,-0.501400456894],[-1.55420202831,-1.132878551467],[0.433610323141,-0.4864471774]],\"v0\":[[-0.074122803946,0.086583640745],[-0.080252461062,0.03073757905],[0.071730591876,-0.041931449296],[0.004219822945,-0.067455020166],[0.058680619361,-0.066732428233],[-0.083552981735,-0.032615655987]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,1],\"p0\":[[-1.376150256324,-1.802575831496],[1.660556398608,1.133254843413],[-0.534048714821,-1.431239730509],[-1.966955346122,-0.49221753632],[-1.562118356705,-1.128953352037],[0.444888405293,-0.482535843966]],\"p1\":[[-1.386508427928,-1.796925787571],[1.649626141673,1.135733078611],[-0.524907252179,-1.433318156261],[-1.963842291975,-0.501400456894],[-1.55420202831,-1.132878551467],[0.433610323141,-0.4864471774]],\"v0\":[[-0.074122803946,0.086583640745],[-0.080252461062,0.03073757905],[0.071730591876,-0.041931449296],[0.004219822945,-0.067455020166],[0.058680619361,-0.066732428233],[-0.083552981735,-0.032615655987]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[-1.376150256324,-1.802575831496],[1.660556398608,1.133254843413],[-0.534048714821,-1.431239730509],[-1.966955346122,-0.49221753632],[-1.562118356705,-1.128953352037],[0.444888405293,-0.482535843966]],\"p1\":[[-1.386508427928,-1.796925787571],[1.649626141673,1.135733078611],[-0.524907252179,-1.433318156261],[-1.963842291975,-0.501400456894],[-1.55420202831,-1.132878551467],[0.433610323141,-0.4864471774]],\"v0\":[[-0.074122803946,0.086583640745],[-0.080252461062,0.03073757905],[0.071730591876,-0.041931449296],[0.004219822945,-0.067455020166],[0.058680619361,-0.066732428233],[-0.083552981735,-0.032615655987]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"00303b7b94c43bd6ca8a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.914808616973,-1.517315198687],[0.700107925084,0.303072090484],[1.501285993956,2.052022260565],[-0.870431848214,-1.415843446952],[0.195154903257,1.078944671236],[-0.88729499018,0.195680106236]],\"p1\":[[0.923817079626,-1.525603307175],[0.707716979326,0.301282342241],[1.503025843085,2.046922094023],[-0.862268944474,-1.424377722826],[0.196844894325,1.075130527818],[-0.878225102275,0.198514581965]],\"v0\":[[0.068146666177,-0.060078031788],[0.049600412511,-0.004773952296],[0.00677319348,-0.051872721267],[0.0753714551,-0.061571730752],[0.021120583994,-0.049971050665],[0.089655594891,0.022501096466]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[0.914808616973,-1.517315198687],[0.700107925084,0.303072090484],[1.501285993956,2.052022260565],[-0.870431848214,-1.415843446952],[0.195154903257,1.078944671236],[-0.88729499018,0.195680106236]],\"p1\":[[0.923817079626,-1.525603307175],[0.707716979326,0.301282342241],[1.503025843085,2.046922094023],[-0.862268944474,-1.424377722826],[0.196844894325,1.075130527818],[-0.878225102275,0.198514581965]],\"v0\":[[0.068146666177,-0.060078031788],[0.049600412511,-0.004773952296],[0.00677319348,-0.051872721267],[0.0753714551,-0.061571730752],[0.021120583994,-0.049971050665],[0.089655594891,0.022501096466]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,0],\"p0\":[[0.914808616973,-1.517315198687],[0.700107925084,0.303072090484],[1.501285993956,2.052022260565],[-0.870431848214,-1.415843446952],[0.195154903257,1.078944671236],[-0.88729499018,0.195680106236]],\"p1\":[[0.923817079626,-1.525603307175],[0.707716979326,0.301282342241],[1.503025843085,2.046922094023],[-0.862268944474,-1.424377722826],[0.196844894325,1.075130527818],[-0.878225102275,0.198514581965]],\"v0\":[[0.068146666177,-0.060078031788],[0.049600412511,-0.004773952296],[0.00677319348,-0.051872721267],[0.0753714551,-0.061571730752],[0.021120583994,-0.049971050665],[0.089655594891,0.022501096466]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,0,0]}"},{"episode_id":"2e58e6cfab904448e8b9","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.242403777549,0.480623134329],[-0.679803864848,0.646837174733],[0.318070057076,-0.323202264657],[0.100524750276,-0.909942412815],[-1.767500956826,1.821877498557],[1.334195026758,-2.057282452506]],\"p1\":[[-1.243332972805,0.487236891369],[-0.68231689504,0.6456934217],[0.314845681188,-0.334888770269],[0.107413342988,-0.90477307053],[-1.773443621452,1.818371909082],[1.337713531359,-2.062287242754]],\"v0\":[[-0.04039575474,0.05159313891],[-0.007268799108,0.007926346703],[-0.005417013335,-0.085806276011],[0.055206333502,0.012977054087],[-0.066724949569,-0.004313342219],[0.046248777843,-0.062023080151]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,0,0,0],\"p0\":[[-1.242403777549,0.480623134329],[-0.679803864848,0.646837174733],[0.318070057076,-0.323202264657],[0.100524750276,-0.909942412815],[-1.767500956826,1.821877498557],[1.334195026758,-2.057282452506]],\"p1\":[[-1.243332972805,0.487236891369],[-0.68231689504,0.6456934217],[0.314845681188,-0.334888770269],[0.107413342988,-0.90477307053],[-1.773443621452,1.818371909082],[1.337713531359,-2.062287242754]],\"v0\":[[-0.04039575474,0.05159313891],[-0.007268799108,0.007926346703],[-0.005417013335,-0.085806276011],[0.055206333502,0.012977054087],[-0.066724949569,-0.004313342219],[0.046248777843,-0.062023080151]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,0],\"p0\":[[-1.242403777549,0.480623134329],[-0.679803864848,0.646837174733],[0.318070057076,-0.323202264657],[0.100524750276,-0.909942412815],[-1.767500956826,1.821877498557],[1.334195026758,-2.057282452506]],\"p1\":[[-1.243332972805,0.487236891369],[-0.68231689504,0.6456934217],[0.314845681188,-0.334888770269],[0.107413342988,-0.90477307053],[-1.773443621452,1.818371909082],[1.337713531359,-2.062287242754]],\"v0\":[[-0.04039575474,0.05159313891],[-0.007268799108,0.007926346703],[-0.005417013335,-0.085806276011],[0.055206333502,0.012977054087],[-0.066724949569,-0.004313342219],[0.046248777843,-0.062023080151]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,0,0]}"},{"episode_id":"8dd767f51c042b7dc2d7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.114801930071,1.014246090219],[-0.27424868836,0.341366773767],[1.941255692389,2.116987903834],[-1.711168332249,2.006370912479],[-1.122758681527,-0.015473092363],[-0.017849419704,1.280432260711]],\"p1\":[[1.10665314364,1.013996000874],[-0.277978153621,0.339980479198],[1.945094758071,2.126774839913],[-1.707075792885,2.005283717879],[-1.130172673277,-0.017505793564],[-0.00915248238,1.285182706343]],\"v0\":[[-0.082437096283,0.003096832122],[-0.037128530796,0.001942436113],[0.02142332866,0.07274676983],[0.043330602835,-0.016504500531],[-0.041946266854,-0.002465315915],[0.074560453504,0.022692961683]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,1,0],\"p0\":[[1.114801930071,1.014246090219],[-0.27424868836,0.341366773767],[1.941255692389,2.116987903834],[-1.711168332249,2.006370912479],[-1.122758681527,-0.015473092363],[-0.017849419704,1.280432260711]],\"p1\":[[1.10665314364,1.013996000874],[-0.277978153621,0.339980479198],[1.945094758071,2.126774839913],[-1.707075792885,2.005283717879],[-1.130172673277,-0.017505793564],[-0.00915248238,1.285182706343]],\"v0\":[[-0.082437096283,0.003096832122],[-0.037128530796,0.001942436113],[0.02142332866,0.07274676983],[0.043330602835,-0.016504500531],[-0.041946266854,-0.002465315915],[0.074560453504,0.022692961683]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[1.114801930071,1.014246090219],[-0.27424868836,0.341366773767],[1.941255692389,2.116987903834],[-1.711168332249,2.006370912479],[-1.122758681527,-0.015473092363],[-0.017849419704,1.280432260711]],\"p1\":[[1.10665314364,1.013996000874],[-0.277978153621,0.339980479198],[1.945094758071,2.126774839913],[-1.707075792885,2.005283717879],[-1.130172673277,-0.017505793564],[-0.00915248238,1.285182706343]],\"v0\":[[-0.082437096283,0.003096832122],[-0.037128530796,0.001942436113],[0.02142332866,0.07274676983],[0.043330602835,-0.016504500531],[-0.041946266854,-0.002465315915],[0.074560453504,0.022692961683]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"c01ab75f99a833d8efc3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.455422283297,1.153360752171],[-0.168858206561,1.16963569599],[-0.246019979299,-1.977461345827],[1.697724917861,1.916286403454],[-2.037203374384,1.363549337972],[0.258427440505,-0.237685133918]],\"p1\":[[0.461518404156,1.155937359485],[-0.171624021567,1.163387027092],[-0.248394063922,-1.977989903675],[1.705049859673,1.923360494269],[-2.032199679419,1.353172296511],[0.267429086037,-0.247526721965]],\"v0\":[[0.013597580258,0.003068185915],[0.00925479417,-0.036962976307],[-0.01785298907,-0.012532064437],[0.054422511959,0.053282589865],[0.03762478211,-0.079342688944],[0.0886741834,-0.072056030487]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[0.455422283297,1.153360752171],[-0.168858206561,1.16963569599],[-0.246019979299,-1.977461345827],[1.697724917861,1.916286403454],[-2.037203374384,1.363549337972],[0.258427440505,-0.237685133918]],\"p1\":[[0.461518404156,1.155937359485],[-0.171624021567,1.163387027092],[-0.248394063922,-1.977989903675],[1.705049859673,1.923360494269],[-2.032199679419,1.353172296511],[0.267429086037,-0.247526721965]],\"v0\":[[0.013597580258,0.003068185915],[0.00925479417,-0.036962976307],[-0.01785298907,-0.012532064437],[0.054422511959,0.053282589865],[0.03762478211,-0.079342688944],[0.0886741834,-0.072056030487]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[0.455422283297,1.153360752171],[-0.168858206561,1.16963569599],[-0.246019979299,-1.977461345827],[1.697724917861,1.916286403454],[-2.037203374384,1.363549337972],[0.258427440505,-0.237685133918]],\"p1\":[[0.461518404156,1.155937359485],[-0.171624021567,1.163387027092],[-0.248394063922,-1.977989903675],[1.705049859673,1.923360494269],[-2.032199679419,1.353172296511],[0.267429086037,-0.247526721965]],\"v0\":[[0.013597580258,0.003068185915],[0.00925479417,-0.036962976307],[-0.01785298907,-0.012532064437],[0.054422511959,0.053282589865],[0.03762478211,-0.079342688944],[0.0886741834,-0.072056030487]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"55e6006821ec06f822f1","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.658933291756,0.790794290391],[0.599625030158,-0.385029993835],[0.454885552733,0.340857013108],[-1.308512218521,-0.887425777994],[0.006981260858,0.879794058458],[-1.903745217237,-0.218038775708]],\"p1\":[[-1.667052722015,0.799058304976],[0.606756708192,-0.374418164667],[0.456387398599,0.338585349012],[-1.310189077361,-0.890753911734],[0.01984118407,0.879903600715],[-1.911582671234,-0.220150471412]],\"v0\":[[-0.067599331905,0.061182539007],[0.060395319739,0.073707768265],[0.027256208054,-0.017594570786],[-0.004668803184,-0.04635309702],[0.087755140391,0.015185185912],[-0.070974332966,0.007821278541]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[-1.658933291756,0.790794290391],[0.599625030158,-0.385029993835],[0.454885552733,0.340857013108],[-1.308512218521,-0.887425777994],[0.006981260858,0.879794058458],[-1.903745217237,-0.218038775708]],\"p1\":[[-1.667052722015,0.799058304976],[0.606756708192,-0.374418164667],[0.456387398599,0.338585349012],[-1.310189077361,-0.890753911734],[0.01984118407,0.879903600715],[-1.911582671234,-0.220150471412]],\"v0\":[[-0.067599331905,0.061182539007],[0.060395319739,0.073707768265],[0.027256208054,-0.017594570786],[-0.004668803184,-0.04635309702],[0.087755140391,0.015185185912],[-0.070974332966,0.007821278541]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-1.658933291756,0.790794290391],[0.599625030158,-0.385029993835],[0.454885552733,0.340857013108],[-1.308512218521,-0.887425777994],[0.006981260858,0.879794058458],[-1.903745217237,-0.218038775708]],\"p1\":[[-1.667052722015,0.799058304976],[0.606756708192,-0.374418164667],[0.456387398599,0.338585349012],[-1.310189077361,-0.890753911734],[0.01984118407,0.879903600715],[-1.911582671234,-0.220150471412]],\"v0\":[[-0.067599331905,0.061182539007],[0.060395319739,0.073707768265],[0.027256208054,-0.017594570786],[-0.004668803184,-0.04635309702],[0.087755140391,0.015185185912],[-0.070974332966,0.007821278541]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"8d5eb3e7cdc857e1e64f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.946989734466,1.877056424894],[-1.719942181328,1.133138833584],[1.151004735856,-1.050059290814],[1.537676870442,-1.880989075928],[-1.222190710824,0.669790444989],[0.486954639975,-0.132828770208]],\"p1\":[[0.952016040477,1.8663566382],[-1.727795411276,1.128346038597],[1.153941556424,-1.057914175679],[1.532944887835,-1.875032920673],[-1.225167703559,0.662562392182],[0.494965841081,-0.142605182267]],\"v0\":[[0.032488458393,-0.077996861007],[-0.064289012613,-0.032707812252],[0.018573066161,-0.061412108935],[-0.034082909417,0.031044326664],[0.008061325118,-0.079343049647],[0.042683425644,-0.066215962794]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[0.946989734466,1.877056424894],[-1.719942181328,1.133138833584],[1.151004735856,-1.050059290814],[1.537676870442,-1.880989075928],[-1.222190710824,0.669790444989],[0.486954639975,-0.132828770208]],\"p1\":[[0.952016040477,1.8663566382],[-1.727795411276,1.128346038597],[1.153941556424,-1.057914175679],[1.532944887835,-1.875032920673],[-1.225167703559,0.662562392182],[0.494965841081,-0.142605182267]],\"v0\":[[0.032488458393,-0.077996861007],[-0.064289012613,-0.032707812252],[0.018573066161,-0.061412108935],[-0.034082909417,0.031044326664],[0.008061325118,-0.079343049647],[0.042683425644,-0.066215962794]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[0.946989734466,1.877056424894],[-1.719942181328,1.133138833584],[1.151004735856,-1.050059290814],[1.537676870442,-1.880989075928],[-1.222190710824,0.669790444989],[0.486954639975,-0.132828770208]],\"p1\":[[0.952016040477,1.8663566382],[-1.727795411276,1.128346038597],[1.153941556424,-1.057914175679],[1.532944887835,-1.875032920673],[-1.225167703559,0.662562392182],[0.494965841081,-0.142605182267]],\"v0\":[[0.032488458393,-0.077996861007],[-0.064289012613,-0.032707812252],[0.018573066161,-0.061412108935],[-0.034082909417,0.031044326664],[0.008061325118,-0.079343049647],[0.042683425644,-0.066215962794]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,1,0]}"},{"episode_id":"eda4d1369ea6aa1a2efd","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.007551274615,-1.032105557526],[-1.781496847576,-1.620861568826],[1.955763819029,-1.07087650257],[1.811357423032,1.687106718988],[0.544548055324,0.56843857014],[-0.247723287536,1.640793909876]],\"p1\":[[-1.012468427602,-1.028185431737],[-1.774519863408,-1.618724200311],[1.962772935338,-1.078050638789],[1.814469826534,1.692403978848],[0.548035403463,0.568097879857],[-0.250596169686,1.638203303494]],\"v0\":[[-0.047597132734,0.028404119831],[0.072490183418,0.029050175902],[0.052972473307,-0.054831271718],[0.01788047499,0.037874357719],[0.027060618814,0.001408850244],[-0.016174809609,-0.031495221302]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,1],\"p0\":[[-1.007551274615,-1.032105557526],[-1.781496847576,-1.620861568826],[1.955763819029,-1.07087650257],[1.811357423032,1.687106718988],[0.544548055324,0.56843857014],[-0.247723287536,1.640793909876]],\"p1\":[[-1.012468427602,-1.028185431737],[-1.774519863408,-1.618724200311],[1.962772935338,-1.078050638789],[1.814469826534,1.692403978848],[0.548035403463,0.568097879857],[-0.250596169686,1.638203303494]],\"v0\":[[-0.047597132734,0.028404119831],[0.072490183418,0.029050175902],[0.052972473307,-0.054831271718],[0.01788047499,0.037874357719],[0.027060618814,0.001408850244],[-0.016174809609,-0.031495221302]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-1.007551274615,-1.032105557526],[-1.781496847576,-1.620861568826],[1.955763819029,-1.07087650257],[1.811357423032,1.687106718988],[0.544548055324,0.56843857014],[-0.247723287536,1.640793909876]],\"p1\":[[-1.012468427602,-1.028185431737],[-1.774519863408,-1.618724200311],[1.962772935338,-1.078050638789],[1.814469826534,1.692403978848],[0.548035403463,0.568097879857],[-0.250596169686,1.638203303494]],\"v0\":[[-0.047597132734,0.028404119831],[0.072490183418,0.029050175902],[0.052972473307,-0.054831271718],[0.01788047499,0.037874357719],[0.027060618814,0.001408850244],[-0.016174809609,-0.031495221302]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"efbaad70b5b85d54bab8","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.971993858496,-1.17733863958],[-1.685055371353,1.393433390733],[-0.969102520317,1.06395226908],[1.964738255646,-0.400122777661],[-0.83473963188,0.183252688887],[-0.138856300862,-0.527483457375]],\"p1\":[[-1.959775385751,-1.171190243061],[-1.681872986803,1.398021519123],[-0.980766329872,1.070876465157],[1.952474574076,-0.392950429793],[-0.834384837728,0.174962303693],[-0.148782044143,-0.531042568003]],\"v0\":[[0.083247423178,0.031097302662],[-0.000787618301,0.064852668789],[-0.08910763241,0.079928281164],[-0.079922268642,0.056350306672],[0.001275025741,-0.074896480006],[-0.065518120901,-0.049135637343]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[-1.971993858496,-1.17733863958],[-1.685055371353,1.393433390733],[-0.969102520317,1.06395226908],[1.964738255646,-0.400122777661],[-0.83473963188,0.183252688887],[-0.138856300862,-0.527483457375]],\"p1\":[[-1.959775385751,-1.171190243061],[-1.681872986803,1.398021519123],[-0.980766329872,1.070876465157],[1.952474574076,-0.392950429793],[-0.834384837728,0.174962303693],[-0.148782044143,-0.531042568003]],\"v0\":[[0.083247423178,0.031097302662],[-0.000787618301,0.064852668789],[-0.08910763241,0.079928281164],[-0.079922268642,0.056350306672],[0.001275025741,-0.074896480006],[-0.065518120901,-0.049135637343]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[-1.971993858496,-1.17733863958],[-1.685055371353,1.393433390733],[-0.969102520317,1.06395226908],[1.964738255646,-0.400122777661],[-0.83473963188,0.183252688887],[-0.138856300862,-0.527483457375]],\"p1\":[[-1.959775385751,-1.171190243061],[-1.681872986803,1.398021519123],[-0.980766329872,1.070876465157],[1.952474574076,-0.392950429793],[-0.834384837728,0.174962303693],[-0.148782044143,-0.531042568003]],\"v0\":[[0.083247423178,0.031097302662],[-0.000787618301,0.064852668789],[-0.08910763241,0.079928281164],[-0.079922268642,0.056350306672],[0.001275025741,-0.074896480006],[-0.065518120901,-0.049135637343]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,1]}"},{"episode_id":"a0dc931d74dffd485ccd","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.11971976015,-1.801329313609],[0.986317912092,1.544577337662],[0.978488221347,0.148099729457],[0.321551499392,1.028634866091],[-0.444282073518,0.634848266884],[-0.239249621309,-0.076363829009]],\"p1\":[[-2.111795310859,-1.805753242021],[0.983226659061,1.544970178438],[0.984333753854,0.153839497463],[0.317204281687,1.025176395171],[-0.441548146921,0.643480555442],[-0.249937815354,-0.077971847886]],\"v0\":[[0.070621983083,-0.032178816948],[-0.047256299954,-0.021266960893],[0.026308133427,0.063911147678],[-0.035471198161,-0.043490659181],[0.054381676618,0.056742452439],[-0.082107264912,0.020236829664]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[-2.11971976015,-1.801329313609],[0.986317912092,1.544577337662],[0.978488221347,0.148099729457],[0.321551499392,1.028634866091],[-0.444282073518,0.634848266884],[-0.239249621309,-0.076363829009]],\"p1\":[[-2.111795310859,-1.805753242021],[0.983226659061,1.544970178438],[0.984333753854,0.153839497463],[0.317204281687,1.025176395171],[-0.441548146921,0.643480555442],[-0.249937815354,-0.077971847886]],\"v0\":[[0.070621983083,-0.032178816948],[-0.047256299954,-0.021266960893],[0.026308133427,0.063911147678],[-0.035471198161,-0.043490659181],[0.054381676618,0.056742452439],[-0.082107264912,0.020236829664]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-2.11971976015,-1.801329313609],[0.986317912092,1.544577337662],[0.978488221347,0.148099729457],[0.321551499392,1.028634866091],[-0.444282073518,0.634848266884],[-0.239249621309,-0.076363829009]],\"p1\":[[-2.111795310859,-1.805753242021],[0.983226659061,1.544970178438],[0.984333753854,0.153839497463],[0.317204281687,1.025176395171],[-0.441548146921,0.643480555442],[-0.249937815354,-0.077971847886]],\"v0\":[[0.070621983083,-0.032178816948],[-0.047256299954,-0.021266960893],[0.026308133427,0.063911147678],[-0.035471198161,-0.043490659181],[0.054381676618,0.056742452439],[-0.082107264912,0.020236829664]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"0f189453a7aabcd893fa","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.247315515841,-0.302740961237],[0.03877737623,0.330395836217],[-1.079181606229,-1.802662210244],[0.687498443014,-1.404524447023],[-1.880355434277,0.651774778456],[-0.146685698726,1.26334655983]],\"p1\":[[1.245552285205,-0.295909502735],[0.0322229363,0.331737068073],[-1.077780517351,-1.79831466521],[0.686294217822,-1.396603677455],[-1.885031814412,0.648507216307],[-0.143322771422,1.256516360025]],\"v0\":[[0.002391193967,0.03846101484],[-0.048291814776,-0.001434247576],[0.012655358312,0.020337423482],[-0.020188443906,0.089221390481],[-0.056003641108,-0.024766815288],[0.030818516588,-0.035625074225]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[1.247315515841,-0.302740961237],[0.03877737623,0.330395836217],[-1.079181606229,-1.802662210244],[0.687498443014,-1.404524447023],[-1.880355434277,0.651774778456],[-0.146685698726,1.26334655983]],\"p1\":[[1.245552285205,-0.295909502735],[0.0322229363,0.331737068073],[-1.077780517351,-1.79831466521],[0.686294217822,-1.396603677455],[-1.885031814412,0.648507216307],[-0.143322771422,1.256516360025]],\"v0\":[[0.002391193967,0.03846101484],[-0.048291814776,-0.001434247576],[0.012655358312,0.020337423482],[-0.020188443906,0.089221390481],[-0.056003641108,-0.024766815288],[0.030818516588,-0.035625074225]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[1.247315515841,-0.302740961237],[0.03877737623,0.330395836217],[-1.079181606229,-1.802662210244],[0.687498443014,-1.404524447023],[-1.880355434277,0.651774778456],[-0.146685698726,1.26334655983]],\"p1\":[[1.245552285205,-0.295909502735],[0.0322229363,0.331737068073],[-1.077780517351,-1.79831466521],[0.686294217822,-1.396603677455],[-1.885031814412,0.648507216307],[-0.143322771422,1.256516360025]],\"v0\":[[0.002391193967,0.03846101484],[-0.048291814776,-0.001434247576],[0.012655358312,0.020337423482],[-0.020188443906,0.089221390481],[-0.056003641108,-0.024766815288],[0.030818516588,-0.035625074225]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"1e7507349b82cd61df00","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-2.028100616003,-1.846848896092],[-0.683076010121,1.841497439737],[2.040546323041,-2.009593408418],[-0.93926489875,-1.431437093886],[1.259588325191,1.975533546959],[-1.826783064521,-1.026495832046]],\"p1\":[[-2.034806075609,-1.852009556692],[-0.687137567955,1.834591738509],[2.050966443435,-2.014607636205],[-0.938382660254,-1.437299112823],[1.264654626549,1.965771972748],[-1.814227244081,-1.024569579169]],\"v0\":[[-0.061026747629,-0.027316909244],[-0.031268614652,-0.057712623246],[0.08758831602,-0.043127409092],[0.030717746907,-0.053555525896],[0.037878136241,-0.080983206906],[0.087423356853,0.006212925328]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[-2.028100616003,-1.846848896092],[-0.683076010121,1.841497439737],[2.040546323041,-2.009593408418],[-0.93926489875,-1.431437093886],[1.259588325191,1.975533546959],[-1.826783064521,-1.026495832046]],\"p1\":[[-2.034806075609,-1.852009556692],[-0.687137567955,1.834591738509],[2.050966443435,-2.014607636205],[-0.938382660254,-1.437299112823],[1.264654626549,1.965771972748],[-1.814227244081,-1.024569579169]],\"v0\":[[-0.061026747629,-0.027316909244],[-0.031268614652,-0.057712623246],[0.08758831602,-0.043127409092],[0.030717746907,-0.053555525896],[0.037878136241,-0.080983206906],[0.087423356853,0.006212925328]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,0,0],\"p0\":[[-2.028100616003,-1.846848896092],[-0.683076010121,1.841497439737],[2.040546323041,-2.009593408418],[-0.93926489875,-1.431437093886],[1.259588325191,1.975533546959],[-1.826783064521,-1.026495832046]],\"p1\":[[-2.034806075609,-1.852009556692],[-0.687137567955,1.834591738509],[2.050966443435,-2.014607636205],[-0.938382660254,-1.437299112823],[1.264654626549,1.965771972748],[-1.814227244081,-1.024569579169]],\"v0\":[[-0.061026747629,-0.027316909244],[-0.031268614652,-0.057712623246],[0.08758831602,-0.043127409092],[0.030717746907,-0.053555525896],[0.037878136241,-0.080983206906],[0.087423356853,0.006212925328]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,1,0,0]}"},{"episode_id":"4cbc67792e290d2d6e4d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.749747705275,1.099294951812],[-0.500359340635,1.794563159622],[-1.588716203496,-0.23833498369],[1.095711206201,-1.685059006551],[-2.149193633757,-1.557064006746],[-2.111813941125,1.67380387042]],\"p1\":[[-1.744912680396,1.091803073159],[-0.498757390601,1.794639755999],[-1.591645083852,-0.237540936152],[1.103144481296,-1.681517376676],[-2.146684516688,-1.562440676232],[-2.103956309286,1.66477768211]],\"v0\":[[0.036376718963,-0.054237593457],[0.01967114306,0.001995475987],[-0.018700438463,0.011449386347],[0.052269222244,0.035037037081],[0.020524495376,-0.056664325651],[0.067426513475,-0.083267169124]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,1],\"p0\":[[-1.749747705275,1.099294951812],[-0.500359340635,1.794563159622],[-1.588716203496,-0.23833498369],[1.095711206201,-1.685059006551],[-2.149193633757,-1.557064006746],[-2.111813941125,1.67380387042]],\"p1\":[[-1.744912680396,1.091803073159],[-0.498757390601,1.794639755999],[-1.591645083852,-0.237540936152],[1.103144481296,-1.681517376676],[-2.146684516688,-1.562440676232],[-2.103956309286,1.66477768211]],\"v0\":[[0.036376718963,-0.054237593457],[0.01967114306,0.001995475987],[-0.018700438463,0.011449386347],[0.052269222244,0.035037037081],[0.020524495376,-0.056664325651],[0.067426513475,-0.083267169124]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[-1.749747705275,1.099294951812],[-0.500359340635,1.794563159622],[-1.588716203496,-0.23833498369],[1.095711206201,-1.685059006551],[-2.149193633757,-1.557064006746],[-2.111813941125,1.67380387042]],\"p1\":[[-1.744912680396,1.091803073159],[-0.498757390601,1.794639755999],[-1.591645083852,-0.237540936152],[1.103144481296,-1.681517376676],[-2.146684516688,-1.562440676232],[-2.103956309286,1.66477768211]],\"v0\":[[0.036376718963,-0.054237593457],[0.01967114306,0.001995475987],[-0.018700438463,0.011449386347],[0.052269222244,0.035037037081],[0.020524495376,-0.056664325651],[0.067426513475,-0.083267169124]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"d0168f3d8ebea86fb018","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.503284533735,1.995915075156],[-1.700856849984,0.10321091154],[-1.238650285056,-0.803232564734],[-1.518203108122,1.840958289597],[0.462043595032,-0.469684256407],[-1.932088243422,-2.001302766205]],\"p1\":[[0.506553982292,2.003155749155],[-1.702170493272,0.095124275703],[-1.23854256297,-0.799362787337],[-1.51062197156,1.842159345333],[0.459414226549,-0.479636354782],[-1.940828152758,-1.999570623747]],\"v0\":[[0.021440819259,0.054955453564],[-0.00076640951,-0.07733590087],[-0.003660176053,0.041735580939],[0.067246522393,0.001548849474],[-0.031735567358,-0.080544397891],[-0.066896971241,0.026348042925]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,1,0],\"p0\":[[0.503284533735,1.995915075156],[-1.700856849984,0.10321091154],[-1.238650285056,-0.803232564734],[-1.518203108122,1.840958289597],[0.462043595032,-0.469684256407],[-1.932088243422,-2.001302766205]],\"p1\":[[0.506553982292,2.003155749155],[-1.702170493272,0.095124275703],[-1.23854256297,-0.799362787337],[-1.51062197156,1.842159345333],[0.459414226549,-0.479636354782],[-1.940828152758,-1.999570623747]],\"v0\":[[0.021440819259,0.054955453564],[-0.00076640951,-0.07733590087],[-0.003660176053,0.041735580939],[0.067246522393,0.001548849474],[-0.031735567358,-0.080544397891],[-0.066896971241,0.026348042925]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[0.503284533735,1.995915075156],[-1.700856849984,0.10321091154],[-1.238650285056,-0.803232564734],[-1.518203108122,1.840958289597],[0.462043595032,-0.469684256407],[-1.932088243422,-2.001302766205]],\"p1\":[[0.506553982292,2.003155749155],[-1.702170493272,0.095124275703],[-1.23854256297,-0.799362787337],[-1.51062197156,1.842159345333],[0.459414226549,-0.479636354782],[-1.940828152758,-1.999570623747]],\"v0\":[[0.021440819259,0.054955453564],[-0.00076640951,-0.07733590087],[-0.003660176053,0.041735580939],[0.067246522393,0.001548849474],[-0.031735567358,-0.080544397891],[-0.066896971241,0.026348042925]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"c9fcbd3bdd046903389c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.195419671163,-0.214206285581],[1.317392007394,0.610442707396],[-1.366502465921,-0.753605428549],[-0.182274616466,0.930588993655],[-0.712484886344,-1.350355485323],[0.651097022661,1.802828881204]],\"p1\":[[-1.200063465538,-0.208020073982],[1.313463156039,0.618540320276],[-1.361818121125,-0.75312661443],[-0.176891851712,0.938233107488],[-0.717822847084,-1.354302382088],[0.640006715931,1.788741511027]],\"v0\":[[-0.051211936,0.071078837267],[-0.00559730946,0.063907489721],[0.009925438225,-0.018394071935],[0.039251776252,0.075722309075],[-0.035328472501,-0.067097660124],[-0.081487860256,-0.088779524913]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,1,0],\"p0\":[[-1.195419671163,-0.214206285581],[1.317392007394,0.610442707396],[-1.366502465921,-0.753605428549],[-0.182274616466,0.930588993655],[-0.712484886344,-1.350355485323],[0.651097022661,1.802828881204]],\"p1\":[[-1.200063465538,-0.208020073982],[1.313463156039,0.618540320276],[-1.361818121125,-0.75312661443],[-0.176891851712,0.938233107488],[-0.717822847084,-1.354302382088],[0.640006715931,1.788741511027]],\"v0\":[[-0.051211936,0.071078837267],[-0.00559730946,0.063907489721],[0.009925438225,-0.018394071935],[0.039251776252,0.075722309075],[-0.035328472501,-0.067097660124],[-0.081487860256,-0.088779524913]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,1],\"p0\":[[-1.195419671163,-0.214206285581],[1.317392007394,0.610442707396],[-1.366502465921,-0.753605428549],[-0.182274616466,0.930588993655],[-0.712484886344,-1.350355485323],[0.651097022661,1.802828881204]],\"p1\":[[-1.200063465538,-0.208020073982],[1.313463156039,0.618540320276],[-1.361818121125,-0.75312661443],[-0.176891851712,0.938233107488],[-0.717822847084,-1.354302382088],[0.640006715931,1.788741511027]],\"v0\":[[-0.051211936,0.071078837267],[-0.00559730946,0.063907489721],[0.009925438225,-0.018394071935],[0.039251776252,0.075722309075],[-0.035328472501,-0.067097660124],[-0.081487860256,-0.088779524913]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,1]}"},{"episode_id":"f997a50f6e53a8f013fc","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.19026739656,0.552368573625],[-0.149676118966,-0.666901750763],[1.121837434962,1.635465612608],[-0.392532701081,1.009998770489],[0.578867414152,-0.778327621706],[1.185859767106,0.464396600192]],\"p1\":[[0.189037774917,0.547268566726],[-0.1510646805,-0.665284844645],[1.127619154018,1.628834579621],[-0.396009764671,1.020543701965],[0.586628865049,-0.778509390708],[1.18684120855,0.454700689263]],\"v0\":[[-0.010950239871,-0.039303840115],[0.018054251164,0.027886981985],[0.037880516727,-0.0765280096],[0.001395973871,0.065791257858],[0.041254649804,0.020918631589],[-0.017390446441,-0.077489040234]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,0],\"p0\":[[0.19026739656,0.552368573625],[-0.149676118966,-0.666901750763],[1.121837434962,1.635465612608],[-0.392532701081,1.009998770489],[0.578867414152,-0.778327621706],[1.185859767106,0.464396600192]],\"p1\":[[0.189037774917,0.547268566726],[-0.1510646805,-0.665284844645],[1.127619154018,1.628834579621],[-0.396009764671,1.020543701965],[0.586628865049,-0.778509390708],[1.18684120855,0.454700689263]],\"v0\":[[-0.010950239871,-0.039303840115],[0.018054251164,0.027886981985],[0.037880516727,-0.0765280096],[0.001395973871,0.065791257858],[0.041254649804,0.020918631589],[-0.017390446441,-0.077489040234]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[0.19026739656,0.552368573625],[-0.149676118966,-0.666901750763],[1.121837434962,1.635465612608],[-0.392532701081,1.009998770489],[0.578867414152,-0.778327621706],[1.185859767106,0.464396600192]],\"p1\":[[0.189037774917,0.547268566726],[-0.1510646805,-0.665284844645],[1.127619154018,1.628834579621],[-0.396009764671,1.020543701965],[0.586628865049,-0.778509390708],[1.18684120855,0.454700689263]],\"v0\":[[-0.010950239871,-0.039303840115],[0.018054251164,0.027886981985],[0.037880516727,-0.0765280096],[0.001395973871,0.065791257858],[0.041254649804,0.020918631589],[-0.017390446441,-0.077489040234]]}\nAnswer:"},"split":"train","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"60134c6e5af0ad59742d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.87262026961,-1.357671862539],[-1.657520414129,-1.948521919517],[-1.762713084013,-0.224069272334],[1.448865677815,0.427687184457],[-0.732159649083,-1.194097541156],[0.909669668618,-0.842230543974]],\"p1\":[[1.862318108104,-1.367645107113],[-1.654127637046,-1.946884265836],[-1.7577188961,-0.218469237449],[1.452221219964,0.425935542246],[-0.727721185375,-1.186638445933],[0.905039023365,-0.83762168026]],\"v0\":[[-0.071286960889,-0.083758235321],[0.042606952539,0.029729669362],[0.030452403875,0.048473285704],[0.020120422691,-0.033332337388],[0.025645017135,0.049627417325],[-0.037136467886,0.05243320629]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[1.87262026961,-1.357671862539],[-1.657520414129,-1.948521919517],[-1.762713084013,-0.224069272334],[1.448865677815,0.427687184457],[-0.732159649083,-1.194097541156],[0.909669668618,-0.842230543974]],\"p1\":[[1.862318108104,-1.367645107113],[-1.654127637046,-1.946884265836],[-1.7577188961,-0.218469237449],[1.452221219964,0.425935542246],[-0.727721185375,-1.186638445933],[0.905039023365,-0.83762168026]],\"v0\":[[-0.071286960889,-0.083758235321],[0.042606952539,0.029729669362],[0.030452403875,0.048473285704],[0.020120422691,-0.033332337388],[0.025645017135,0.049627417325],[-0.037136467886,0.05243320629]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[1.87262026961,-1.357671862539],[-1.657520414129,-1.948521919517],[-1.762713084013,-0.224069272334],[1.448865677815,0.427687184457],[-0.732159649083,-1.194097541156],[0.909669668618,-0.842230543974]],\"p1\":[[1.862318108104,-1.367645107113],[-1.654127637046,-1.946884265836],[-1.7577188961,-0.218469237449],[1.452221219964,0.425935542246],[-0.727721185375,-1.186638445933],[0.905039023365,-0.83762168026]],\"v0\":[[-0.071286960889,-0.083758235321],[0.042606952539,0.029729669362],[0.030452403875,0.048473285704],[0.020120422691,-0.033332337388],[0.025645017135,0.049627417325],[-0.037136467886,0.05243320629]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,0,0]}"},{"episode_id":"d614ab65659bd62b339e","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-1.607545609534,1.374668683522],[0.071007719912,1.801189184361],[0.859134999191,-2.13905801763],[2.034509326774,0.378852590708],[1.177348468682,0.393360785019],[1.2902754535,0.985807284995]],\"p1\":[[-1.616624399089,1.364627673845],[0.068780463162,1.801996949543],[0.859413543021,-2.135021886293],[2.029505582449,0.384017513377],[1.175381169449,0.386155823397],[1.298644256085,0.988503939366]],\"v0\":[[-0.074828719302,-0.082122052577],[-0.033020048754,0.013186874478],[0.000445272585,0.02986366529],[-0.06753731603,0.052618563708],[0.01269222844,-0.029057867711],[0.082000720994,-0.022326664356]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[-1.607545609534,1.374668683522],[0.071007719912,1.801189184361],[0.859134999191,-2.13905801763],[2.034509326774,0.378852590708],[1.177348468682,0.393360785019],[1.2902754535,0.985807284995]],\"p1\":[[-1.616624399089,1.364627673845],[0.068780463162,1.801996949543],[0.859413543021,-2.135021886293],[2.029505582449,0.384017513377],[1.175381169449,0.386155823397],[1.298644256085,0.988503939366]],\"v0\":[[-0.074828719302,-0.082122052577],[-0.033020048754,0.013186874478],[0.000445272585,0.02986366529],[-0.06753731603,0.052618563708],[0.01269222844,-0.029057867711],[0.082000720994,-0.022326664356]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,1],\"p0\":[[-1.607545609534,1.374668683522],[0.071007719912,1.801189184361],[0.859134999191,-2.13905801763],[2.034509326774,0.378852590708],[1.177348468682,0.393360785019],[1.2902754535,0.985807284995]],\"p1\":[[-1.616624399089,1.364627673845],[0.068780463162,1.801996949543],[0.859413543021,-2.135021886293],[2.029505582449,0.384017513377],[1.175381169449,0.386155823397],[1.298644256085,0.988503939366]],\"v0\":[[-0.074828719302,-0.082122052577],[-0.033020048754,0.013186874478],[0.000445272585,0.02986366529],[-0.06753731603,0.052618563708],[0.01269222844,-0.029057867711],[0.082000720994,-0.022326664356]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,1]}"},{"episode_id":"1781a89d8e6cd33650a3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.83976910495,0.634101469393],[-0.066286794576,0.383171263514],[-1.844882555401,1.805953476381],[1.219463921106,1.50991972803],[0.216962973696,-0.690452190297],[-0.917520225754,1.937547557263]],\"p1\":[[1.838282984594,0.637698468877],[-0.063454908684,0.389891319724],[-1.848464285808,1.805863399814],[1.219918331861,1.518746881656],[0.214967058535,-0.682014078371],[-0.918133866089,1.933043044909]],\"v0\":[[-0.014768312015,0.025867790708],[0.0491565157,0.039335641337],[-0.038298170306,-0.003870160999],[-0.0185503537,0.085761009159],[-0.032371187877,0.080806709772],[0.018238928086,-0.036336553934]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[1.83976910495,0.634101469393],[-0.066286794576,0.383171263514],[-1.844882555401,1.805953476381],[1.219463921106,1.50991972803],[0.216962973696,-0.690452190297],[-0.917520225754,1.937547557263]],\"p1\":[[1.838282984594,0.637698468877],[-0.063454908684,0.389891319724],[-1.848464285808,1.805863399814],[1.219918331861,1.518746881656],[0.214967058535,-0.682014078371],[-0.918133866089,1.933043044909]],\"v0\":[[-0.014768312015,0.025867790708],[0.0491565157,0.039335641337],[-0.038298170306,-0.003870160999],[-0.0185503537,0.085761009159],[-0.032371187877,0.080806709772],[0.018238928086,-0.036336553934]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[1.83976910495,0.634101469393],[-0.066286794576,0.383171263514],[-1.844882555401,1.805953476381],[1.219463921106,1.50991972803],[0.216962973696,-0.690452190297],[-0.917520225754,1.937547557263]],\"p1\":[[1.838282984594,0.637698468877],[-0.063454908684,0.389891319724],[-1.848464285808,1.805863399814],[1.219918331861,1.518746881656],[0.214967058535,-0.682014078371],[-0.918133866089,1.933043044909]],\"v0\":[[-0.014768312015,0.025867790708],[0.0491565157,0.039335641337],[-0.038298170306,-0.003870160999],[-0.0185503537,0.085761009159],[-0.032371187877,0.080806709772],[0.018238928086,-0.036336553934]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"ccea8fb5cc95448fdfac","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.562022149948,1.633701304116],[-0.419785054155,0.39135454604],[0.102155628847,-1.859506688886],[0.994075857751,0.978791198949],[1.866581656525,0.95333743456],[0.243067551811,0.016464515469]],\"p1\":[[1.562002530273,1.636993436573],[-0.430852742496,0.385091385795],[0.109655862897,-1.864478546178],[0.995497775554,0.979098746357],[1.877672706994,0.961137689736],[0.236125007317,0.006602806637]],\"v0\":[[-0.006786895976,-0.012100612481],[-0.061909968997,-0.061551916009],[0.063745888643,-0.031277560171],[0.029215968066,0.004379749782],[0.058715948692,0.083060354711],[-0.066453025326,-0.063316610231]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,0],\"p0\":[[1.562022149948,1.633701304116],[-0.419785054155,0.39135454604],[0.102155628847,-1.859506688886],[0.994075857751,0.978791198949],[1.866581656525,0.95333743456],[0.243067551811,0.016464515469]],\"p1\":[[1.562002530273,1.636993436573],[-0.430852742496,0.385091385795],[0.109655862897,-1.864478546178],[0.995497775554,0.979098746357],[1.877672706994,0.961137689736],[0.236125007317,0.006602806637]],\"v0\":[[-0.006786895976,-0.012100612481],[-0.061909968997,-0.061551916009],[0.063745888643,-0.031277560171],[0.029215968066,0.004379749782],[0.058715948692,0.083060354711],[-0.066453025326,-0.063316610231]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[1.562022149948,1.633701304116],[-0.419785054155,0.39135454604],[0.102155628847,-1.859506688886],[0.994075857751,0.978791198949],[1.866581656525,0.95333743456],[0.243067551811,0.016464515469]],\"p1\":[[1.562002530273,1.636993436573],[-0.430852742496,0.385091385795],[0.109655862897,-1.864478546178],[0.995497775554,0.979098746357],[1.877672706994,0.961137689736],[0.236125007317,0.006602806637]],\"v0\":[[-0.006786895976,-0.012100612481],[-0.061909968997,-0.061551916009],[0.063745888643,-0.031277560171],[0.029215968066,0.004379749782],[0.058715948692,0.083060354711],[-0.066453025326,-0.063316610231]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"1ef1104d156c78f54690","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.2179531205,0.40893343081],[-1.747425429041,0.887118572485],[-1.444771841628,1.777064344774],[0.480923223113,-2.028088285095],[-0.615906931973,1.897842274854],[1.618497504279,-1.403370893039]],\"p1\":[[1.212131079638,0.40961377576],[-1.735946068354,0.884834848917],[-1.446367282219,1.771320804299],[0.483455010817,-2.028846424205],[-0.613380482086,1.88899691974],[1.613151624719,-1.40469784744]],\"v0\":[[-0.034863866991,0.011770131572],[0.073997711295,-0.033302382213],[-0.032728191915,-0.028744098704],[0.014815450369,-0.026438280992],[0.036422179846,-0.054961978885],[-0.026191305392,-0.020634788431]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,0,1],\"p0\":[[1.2179531205,0.40893343081],[-1.747425429041,0.887118572485],[-1.444771841628,1.777064344774],[0.480923223113,-2.028088285095],[-0.615906931973,1.897842274854],[1.618497504279,-1.403370893039]],\"p1\":[[1.212131079638,0.40961377576],[-1.735946068354,0.884834848917],[-1.446367282219,1.771320804299],[0.483455010817,-2.028846424205],[-0.613380482086,1.88899691974],[1.613151624719,-1.40469784744]],\"v0\":[[-0.034863866991,0.011770131572],[0.073997711295,-0.033302382213],[-0.032728191915,-0.028744098704],[0.014815450369,-0.026438280992],[0.036422179846,-0.054961978885],[-0.026191305392,-0.020634788431]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[1.2179531205,0.40893343081],[-1.747425429041,0.887118572485],[-1.444771841628,1.777064344774],[0.480923223113,-2.028088285095],[-0.615906931973,1.897842274854],[1.618497504279,-1.403370893039]],\"p1\":[[1.212131079638,0.40961377576],[-1.735946068354,0.884834848917],[-1.446367282219,1.771320804299],[0.483455010817,-2.028846424205],[-0.613380482086,1.88899691974],[1.613151624719,-1.40469784744]],\"v0\":[[-0.034863866991,0.011770131572],[0.073997711295,-0.033302382213],[-0.032728191915,-0.028744098704],[0.014815450369,-0.026438280992],[0.036422179846,-0.054961978885],[-0.026191305392,-0.020634788431]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"94ca013f0357f8526974","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.630088467949,-0.484894919083],[-1.029321145265,0.25176118894],[0.260289945625,-0.395687506984],[0.132971799491,-1.885763438143],[0.288260532369,-1.164265862672],[-0.412359075803,1.098760836411]],\"p1\":[[-0.638720311934,-0.477641531403],[-1.026604990369,0.248110434492],[0.253489473779,-0.398336703352],[0.130083923975,-1.884307660442],[0.282041594865,-1.176011044372],[-0.41783187171,1.109200683863]],\"v0\":[[-0.052516209381,0.073141341783],[0.048701990324,-0.045041168688],[-0.081209577392,-0.044123269717],[-0.022571663244,0.050316607545],[-0.069410597262,-0.087878959253],[-0.050458691887,0.062784450988]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,1,0,0,0],\"p0\":[[-0.630088467949,-0.484894919083],[-1.029321145265,0.25176118894],[0.260289945625,-0.395687506984],[0.132971799491,-1.885763438143],[0.288260532369,-1.164265862672],[-0.412359075803,1.098760836411]],\"p1\":[[-0.638720311934,-0.477641531403],[-1.026604990369,0.248110434492],[0.253489473779,-0.398336703352],[0.130083923975,-1.884307660442],[0.282041594865,-1.176011044372],[-0.41783187171,1.109200683863]],\"v0\":[[-0.052516209381,0.073141341783],[0.048701990324,-0.045041168688],[-0.081209577392,-0.044123269717],[-0.022571663244,0.050316607545],[-0.069410597262,-0.087878959253],[-0.050458691887,0.062784450988]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,1],\"p0\":[[-0.630088467949,-0.484894919083],[-1.029321145265,0.25176118894],[0.260289945625,-0.395687506984],[0.132971799491,-1.885763438143],[0.288260532369,-1.164265862672],[-0.412359075803,1.098760836411]],\"p1\":[[-0.638720311934,-0.477641531403],[-1.026604990369,0.248110434492],[0.253489473779,-0.398336703352],[0.130083923975,-1.884307660442],[0.282041594865,-1.176011044372],[-0.41783187171,1.109200683863]],\"v0\":[[-0.052516209381,0.073141341783],[0.048701990324,-0.045041168688],[-0.081209577392,-0.044123269717],[-0.022571663244,0.050316607545],[-0.069410597262,-0.087878959253],[-0.050458691887,0.062784450988]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,1,1]}"},{"episode_id":"6ecd6b981be1a15eaa46","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.026688192954,0.27607831267],[-1.230776190262,-1.085850642961],[-1.022417024843,1.599902241507],[-1.574232421954,-1.965316274505],[0.077896854817,-1.712282467435],[1.716970767834,2.085140316024]],\"p1\":[[-0.027180957657,0.265376878777],[-1.234484662885,-1.076788362207],[-1.014182110573,1.607405264107],[-1.57610073681,-1.965598578773],[0.07726793911,-1.703114119772],[1.725456840578,2.082791105127]],\"v0\":[[-0.007873646964,-0.072600228944],[-0.024885316894,0.055869773149],[0.069782163523,0.052244183949],[-0.019315312399,0.01167328675],[-0.005171614316,0.081827786254],[0.070984719764,-0.025675618149]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,0],\"p0\":[[-0.026688192954,0.27607831267],[-1.230776190262,-1.085850642961],[-1.022417024843,1.599902241507],[-1.574232421954,-1.965316274505],[0.077896854817,-1.712282467435],[1.716970767834,2.085140316024]],\"p1\":[[-0.027180957657,0.265376878777],[-1.234484662885,-1.076788362207],[-1.014182110573,1.607405264107],[-1.57610073681,-1.965598578773],[0.07726793911,-1.703114119772],[1.725456840578,2.082791105127]],\"v0\":[[-0.007873646964,-0.072600228944],[-0.024885316894,0.055869773149],[0.069782163523,0.052244183949],[-0.019315312399,0.01167328675],[-0.005171614316,0.081827786254],[0.070984719764,-0.025675618149]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[-0.026688192954,0.27607831267],[-1.230776190262,-1.085850642961],[-1.022417024843,1.599902241507],[-1.574232421954,-1.965316274505],[0.077896854817,-1.712282467435],[1.716970767834,2.085140316024]],\"p1\":[[-0.027180957657,0.265376878777],[-1.234484662885,-1.076788362207],[-1.014182110573,1.607405264107],[-1.57610073681,-1.965598578773],[0.07726793911,-1.703114119772],[1.725456840578,2.082791105127]],\"v0\":[[-0.007873646964,-0.072600228944],[-0.024885316894,0.055869773149],[0.069782163523,0.052244183949],[-0.019315312399,0.01167328675],[-0.005171614316,0.081827786254],[0.070984719764,-0.025675618149]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,0,1]}"},{"episode_id":"655b63a4c832454e56f6","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.946831541049,1.628996356239],[-0.831385852453,1.927284241685],[-1.250759880023,-1.634998020532],[-2.072748069394,0.746028627663],[0.10078269274,-0.480880046214],[1.361254672536,1.070838171394]],\"p1\":[[0.947956525762,1.629177037257],[-0.825571964033,1.934178446054],[-1.251473421128,-1.636090515888],[-2.080023374165,0.751761946495],[0.102639028393,-0.483836091582],[1.363695608879,1.077463925136]],\"v0\":[[-0.010576569687,0.026375339574],[0.046230993018,0.057462471436],[-0.001754414344,-0.009466944662],[-0.059684065537,0.054615207913],[0.016035222938,-0.030457987364],[0.036809660709,0.029683723431]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,1,0,0],\"p0\":[[0.946831541049,1.628996356239],[-0.831385852453,1.927284241685],[-1.250759880023,-1.634998020532],[-2.072748069394,0.746028627663],[0.10078269274,-0.480880046214],[1.361254672536,1.070838171394]],\"p1\":[[0.947956525762,1.629177037257],[-0.825571964033,1.934178446054],[-1.251473421128,-1.636090515888],[-2.080023374165,0.751761946495],[0.102639028393,-0.483836091582],[1.363695608879,1.077463925136]],\"v0\":[[-0.010576569687,0.026375339574],[0.046230993018,0.057462471436],[-0.001754414344,-0.009466944662],[-0.059684065537,0.054615207913],[0.016035222938,-0.030457987364],[0.036809660709,0.029683723431]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[0.946831541049,1.628996356239],[-0.831385852453,1.927284241685],[-1.250759880023,-1.634998020532],[-2.072748069394,0.746028627663],[0.10078269274,-0.480880046214],[1.361254672536,1.070838171394]],\"p1\":[[0.947956525762,1.629177037257],[-0.825571964033,1.934178446054],[-1.251473421128,-1.636090515888],[-2.080023374165,0.751761946495],[0.102639028393,-0.483836091582],[1.363695608879,1.077463925136]],\"v0\":[[-0.010576569687,0.026375339574],[0.046230993018,0.057462471436],[-0.001754414344,-0.009466944662],[-0.059684065537,0.054615207913],[0.016035222938,-0.030457987364],[0.036809660709,0.029683723431]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"d3cdbeb5336553a8f592","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.5097133329,-0.511825319915],[-0.726566598681,-0.734564486151],[-0.447069948804,1.02306102555],[-0.817023160593,-1.427193416618],[0.114769762485,0.610716559302],[1.313149962796,-1.139536231273]],\"p1\":[[1.50446028333,-0.518808981056],[-0.730025726151,-0.744519384822],[-0.457903218163,1.022434858838],[-0.816294037061,-1.414685264166],[0.112023108046,0.609247831031],[1.309626390459,-1.136167458623]],\"v0\":[[-0.047762876617,-0.043185560923],[-0.009808177501,-0.064964573224],[-0.065022521712,-0.010414225506],[0.017318930648,0.088294763297],[-0.05564033483,-0.003815531095],[-0.048139600345,0.007780713341]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,0,1],\"p0\":[[1.5097133329,-0.511825319915],[-0.726566598681,-0.734564486151],[-0.447069948804,1.02306102555],[-0.817023160593,-1.427193416618],[0.114769762485,0.610716559302],[1.313149962796,-1.139536231273]],\"p1\":[[1.50446028333,-0.518808981056],[-0.730025726151,-0.744519384822],[-0.457903218163,1.022434858838],[-0.816294037061,-1.414685264166],[0.112023108046,0.609247831031],[1.309626390459,-1.136167458623]],\"v0\":[[-0.047762876617,-0.043185560923],[-0.009808177501,-0.064964573224],[-0.065022521712,-0.010414225506],[0.017318930648,0.088294763297],[-0.05564033483,-0.003815531095],[-0.048139600345,0.007780713341]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,0,0],\"p0\":[[1.5097133329,-0.511825319915],[-0.726566598681,-0.734564486151],[-0.447069948804,1.02306102555],[-0.817023160593,-1.427193416618],[0.114769762485,0.610716559302],[1.313149962796,-1.139536231273]],\"p1\":[[1.50446028333,-0.518808981056],[-0.730025726151,-0.744519384822],[-0.457903218163,1.022434858838],[-0.816294037061,-1.414685264166],[0.112023108046,0.609247831031],[1.309626390459,-1.136167458623]],\"v0\":[[-0.047762876617,-0.043185560923],[-0.009808177501,-0.064964573224],[-0.065022521712,-0.010414225506],[0.017318930648,0.088294763297],[-0.05564033483,-0.003815531095],[-0.048139600345,0.007780713341]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,0,0]}"},{"episode_id":"92fe86aaca92265e076f","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.342496001509,-0.613140824171],[-1.471479782087,1.611872813005],[1.120591772546,-0.679078462237],[0.129512480452,-1.121109721224],[1.779842577958,-0.849881903148],[0.910043609164,0.49225311705]],\"p1\":[[0.350102547471,-0.601132657839],[-1.474028917035,1.621946756982],[1.117661657049,-0.686130740408],[0.13397560305,-1.136835473584],[1.787146879773,-0.843093596479],[0.909111701487,0.484805985931]],\"v0\":[[0.07951999109,0.070601967293],[-0.015984313356,0.079188739509],[-0.032655834184,-0.0579246044],[0.068898411712,-0.084421391598],[0.019183784346,0.068679111514],[-0.010938604178,-0.087413361254]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,0],\"p0\":[[0.342496001509,-0.613140824171],[-1.471479782087,1.611872813005],[1.120591772546,-0.679078462237],[0.129512480452,-1.121109721224],[1.779842577958,-0.849881903148],[0.910043609164,0.49225311705]],\"p1\":[[0.350102547471,-0.601132657839],[-1.474028917035,1.621946756982],[1.117661657049,-0.686130740408],[0.13397560305,-1.136835473584],[1.787146879773,-0.843093596479],[0.909111701487,0.484805985931]],\"v0\":[[0.07951999109,0.070601967293],[-0.015984313356,0.079188739509],[-0.032655834184,-0.0579246044],[0.068898411712,-0.084421391598],[0.019183784346,0.068679111514],[-0.010938604178,-0.087413361254]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,1,0],\"p0\":[[0.342496001509,-0.613140824171],[-1.471479782087,1.611872813005],[1.120591772546,-0.679078462237],[0.129512480452,-1.121109721224],[1.779842577958,-0.849881903148],[0.910043609164,0.49225311705]],\"p1\":[[0.350102547471,-0.601132657839],[-1.474028917035,1.621946756982],[1.117661657049,-0.686130740408],[0.13397560305,-1.136835473584],[1.787146879773,-0.843093596479],[0.909111701487,0.484805985931]],\"v0\":[[0.07951999109,0.070601967293],[-0.015984313356,0.079188739509],[-0.032655834184,-0.0579246044],[0.068898411712,-0.084421391598],[0.019183784346,0.068679111514],[-0.010938604178,-0.087413361254]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,0,1,1,0]}"},{"episode_id":"6d516a089a32fbbbea1b","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.228478644813,1.312121126411],[0.376165776017,-2.089593381819],[0.372976444985,-1.446252269752],[-1.215253805924,1.165618816272],[2.079505986633,1.965511925553],[-0.702486572503,-0.732564670842]],\"p1\":[[1.231808535112,1.310375224166],[0.368165139567,-2.084335117055],[0.362975845795,-1.441657205978],[-1.209108903606,1.169044886619],[2.073616567032,1.964131545702],[-0.692542666746,-0.732049613628]],\"v0\":[[0.029264506278,-0.009708024365],[-0.061983976548,0.006435764684],[-0.075080886031,0.04052489699],[0.035192834845,0.041773329982],[-0.029059679186,0.00637826943],[0.064400893416,0.003497213305]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,0],\"p0\":[[1.228478644813,1.312121126411],[0.376165776017,-2.089593381819],[0.372976444985,-1.446252269752],[-1.215253805924,1.165618816272],[2.079505986633,1.965511925553],[-0.702486572503,-0.732564670842]],\"p1\":[[1.231808535112,1.310375224166],[0.368165139567,-2.084335117055],[0.362975845795,-1.441657205978],[-1.209108903606,1.169044886619],[2.073616567032,1.964131545702],[-0.692542666746,-0.732049613628]],\"v0\":[[0.029264506278,-0.009708024365],[-0.061983976548,0.006435764684],[-0.075080886031,0.04052489699],[0.035192834845,0.041773329982],[-0.029059679186,0.00637826943],[0.064400893416,0.003497213305]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,0,1],\"p0\":[[1.228478644813,1.312121126411],[0.376165776017,-2.089593381819],[0.372976444985,-1.446252269752],[-1.215253805924,1.165618816272],[2.079505986633,1.965511925553],[-0.702486572503,-0.732564670842]],\"p1\":[[1.231808535112,1.310375224166],[0.368165139567,-2.084335117055],[0.362975845795,-1.441657205978],[-1.209108903606,1.169044886619],[2.073616567032,1.964131545702],[-0.692542666746,-0.732049613628]],\"v0\":[[0.029264506278,-0.009708024365],[-0.061983976548,0.006435764684],[-0.075080886031,0.04052489699],[0.035192834845,0.041773329982],[-0.029059679186,0.00637826943],[0.064400893416,0.003497213305]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,0,0,1]}"},{"episode_id":"4573813980de6888fc9d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.982155558,2.139578689489],[0.334100570806,-1.052845594469],[-0.125302486978,-0.696791006245],[-0.585309421826,0.230616321433],[0.020179601056,0.87539360278],[-1.272061619541,-0.452687122113]],\"p1\":[[0.988895540492,2.133096515134],[0.343519774059,-1.060649749799],[-0.120846501056,-0.691541414549],[-0.579735687145,0.225363811188],[0.022688533464,0.883828492682],[-1.265465105225,-0.453206703832]],\"v0\":[[0.049663722207,-0.063943210104],[0.042132350329,-0.031766021254],[0.050954227396,0.042293232721],[0.058270670711,-0.055720946343],[0.009891498673,0.050062080693],[0.083207139611,0.005958697189]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,0,1,0],\"p0\":[[0.982155558,2.139578689489],[0.334100570806,-1.052845594469],[-0.125302486978,-0.696791006245],[-0.585309421826,0.230616321433],[0.020179601056,0.87539360278],[-1.272061619541,-0.452687122113]],\"p1\":[[0.988895540492,2.133096515134],[0.343519774059,-1.060649749799],[-0.120846501056,-0.691541414549],[-0.579735687145,0.225363811188],[0.022688533464,0.883828492682],[-1.265465105225,-0.453206703832]],\"v0\":[[0.049663722207,-0.063943210104],[0.042132350329,-0.031766021254],[0.050954227396,0.042293232721],[0.058270670711,-0.055720946343],[0.009891498673,0.050062080693],[0.083207139611,0.005958697189]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[0.982155558,2.139578689489],[0.334100570806,-1.052845594469],[-0.125302486978,-0.696791006245],[-0.585309421826,0.230616321433],[0.020179601056,0.87539360278],[-1.272061619541,-0.452687122113]],\"p1\":[[0.988895540492,2.133096515134],[0.343519774059,-1.060649749799],[-0.120846501056,-0.691541414549],[-0.579735687145,0.225363811188],[0.022688533464,0.883828492682],[-1.265465105225,-0.453206703832]],\"v0\":[[0.049663722207,-0.063943210104],[0.042132350329,-0.031766021254],[0.050954227396,0.042293232721],[0.058270670711,-0.055720946343],[0.009891498673,0.050062080693],[0.083207139611,0.005958697189]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"ae34a0824f633da593fd","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.292816400861,0.507366709592],[-1.396957253195,-1.436715139623],[-0.660248952417,0.252877740893],[2.014679501969,-0.104010236397],[1.016332283103,1.172824817964],[1.723700036994,-0.696138670802]],\"p1\":[[1.2880193243,0.515864247623],[-1.386375629659,-1.431404394526],[-0.668527111784,0.252746597202],[2.006143250247,-0.11085148524],[1.008236941183,1.170847843883],[1.716132292468,-0.690988599958]],\"v0\":[[-0.028712578825,0.066579339265],[0.08400649956,0.048454814136],[-0.062258788088,-0.008311102834],[-0.069562131605,-0.034356714019],[-0.071989025565,-0.020671314083],[-0.073925230143,0.031713205502]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,1],\"p0\":[[1.292816400861,0.507366709592],[-1.396957253195,-1.436715139623],[-0.660248952417,0.252877740893],[2.014679501969,-0.104010236397],[1.016332283103,1.172824817964],[1.723700036994,-0.696138670802]],\"p1\":[[1.2880193243,0.515864247623],[-1.386375629659,-1.431404394526],[-0.668527111784,0.252746597202],[2.006143250247,-0.11085148524],[1.008236941183,1.170847843883],[1.716132292468,-0.690988599958]],\"v0\":[[-0.028712578825,0.066579339265],[0.08400649956,0.048454814136],[-0.062258788088,-0.008311102834],[-0.069562131605,-0.034356714019],[-0.071989025565,-0.020671314083],[-0.073925230143,0.031713205502]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[1.292816400861,0.507366709592],[-1.396957253195,-1.436715139623],[-0.660248952417,0.252877740893],[2.014679501969,-0.104010236397],[1.016332283103,1.172824817964],[1.723700036994,-0.696138670802]],\"p1\":[[1.2880193243,0.515864247623],[-1.386375629659,-1.431404394526],[-0.668527111784,0.252746597202],[2.006143250247,-0.11085148524],[1.008236941183,1.170847843883],[1.716132292468,-0.690988599958]],\"v0\":[[-0.028712578825,0.066579339265],[0.08400649956,0.048454814136],[-0.062258788088,-0.008311102834],[-0.069562131605,-0.034356714019],[-0.071989025565,-0.020671314083],[-0.073925230143,0.031713205502]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"7a002ceb4dad1056e65a","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.271632701581,-0.757389028036],[2.000801147497,-0.213126634802],[0.117425902012,2.110675794967],[-0.798631370734,-1.710041902166],[1.605789985948,1.754598735375],[-1.285191866553,1.373807668894]],\"p1\":[[1.279246057078,-0.75543734714],[1.998704655491,-0.203384534256],[0.115461914964,2.108249760307],[-0.80954400557,-1.720664699255],[1.596753168997,1.745201687808],[-1.279324121775,1.366295060626]],\"v0\":[[0.075213324791,0.020449195424],[-0.029023969294,0.065587148933],[-0.016843992496,-0.020700956844],[-0.087660360088,-0.089727937522],[-0.082764679419,-0.070789333205],[0.053339421791,-0.057024001294]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[1.271632701581,-0.757389028036],[2.000801147497,-0.213126634802],[0.117425902012,2.110675794967],[-0.798631370734,-1.710041902166],[1.605789985948,1.754598735375],[-1.285191866553,1.373807668894]],\"p1\":[[1.279246057078,-0.75543734714],[1.998704655491,-0.203384534256],[0.115461914964,2.108249760307],[-0.80954400557,-1.720664699255],[1.596753168997,1.745201687808],[-1.279324121775,1.366295060626]],\"v0\":[[0.075213324791,0.020449195424],[-0.029023969294,0.065587148933],[-0.016843992496,-0.020700956844],[-0.087660360088,-0.089727937522],[-0.082764679419,-0.070789333205],[0.053339421791,-0.057024001294]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[1.271632701581,-0.757389028036],[2.000801147497,-0.213126634802],[0.117425902012,2.110675794967],[-0.798631370734,-1.710041902166],[1.605789985948,1.754598735375],[-1.285191866553,1.373807668894]],\"p1\":[[1.279246057078,-0.75543734714],[1.998704655491,-0.203384534256],[0.115461914964,2.108249760307],[-0.80954400557,-1.720664699255],[1.596753168997,1.745201687808],[-1.279324121775,1.366295060626]],\"v0\":[[0.075213324791,0.020449195424],[-0.029023969294,0.065587148933],[-0.016843992496,-0.020700956844],[-0.087660360088,-0.089727937522],[-0.082764679419,-0.070789333205],[0.053339421791,-0.057024001294]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,1]}"},{"episode_id":"9246e9536e368abc52b7","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.338477585519,1.559200399665],[0.891993057278,-1.288376086532],[1.488534704738,0.735517841511],[1.281892623012,0.170805367956],[2.066504500154,-1.310087158053],[-1.52553513725,0.828600623071]],\"p1\":[[-0.332948222152,1.558069872582],[0.882499117098,-1.28352508087],[1.478967607662,0.743955790488],[1.276404529202,0.17541857676],[2.063836170097,-1.315773207211],[-1.513714262667,0.824614623921]],\"v0\":[[0.048990216565,0.00165297193],[-0.085304129279,0.036035754892],[-0.075753355539,0.059929449332],[-0.046758615651,0.047664137222],[-0.007059965086,-0.051303092202],[0.083658989212,-0.034815987415]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,1],\"p0\":[[-0.338477585519,1.559200399665],[0.891993057278,-1.288376086532],[1.488534704738,0.735517841511],[1.281892623012,0.170805367956],[2.066504500154,-1.310087158053],[-1.52553513725,0.828600623071]],\"p1\":[[-0.332948222152,1.558069872582],[0.882499117098,-1.28352508087],[1.478967607662,0.743955790488],[1.276404529202,0.17541857676],[2.063836170097,-1.315773207211],[-1.513714262667,0.824614623921]],\"v0\":[[0.048990216565,0.00165297193],[-0.085304129279,0.036035754892],[-0.075753355539,0.059929449332],[-0.046758615651,0.047664137222],[-0.007059965086,-0.051303092202],[0.083658989212,-0.034815987415]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,0],\"p0\":[[-0.338477585519,1.559200399665],[0.891993057278,-1.288376086532],[1.488534704738,0.735517841511],[1.281892623012,0.170805367956],[2.066504500154,-1.310087158053],[-1.52553513725,0.828600623071]],\"p1\":[[-0.332948222152,1.558069872582],[0.882499117098,-1.28352508087],[1.478967607662,0.743955790488],[1.276404529202,0.17541857676],[2.063836170097,-1.315773207211],[-1.513714262667,0.824614623921]],\"v0\":[[0.048990216565,0.00165297193],[-0.085304129279,0.036035754892],[-0.075753355539,0.059929449332],[-0.046758615651,0.047664137222],[-0.007059965086,-0.051303092202],[0.083658989212,-0.034815987415]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,0,1,0,0]}"},{"episode_id":"4955b2e1bd5fb2e31a27","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.293114747059,0.439668940439],[0.290101179555,-1.657976189961],[0.964898170723,-1.19017778786],[-0.994044971601,-1.610992222654],[1.935903284655,0.100097363372],[1.180221334276,-0.251248329839]],\"p1\":[[-0.297136839441,0.43846791095],[0.297162010222,-1.669453054345],[0.976227157603,-1.20051545652],[-0.997932283519,-1.601064569774],[1.946692298611,0.09280362375],[1.170870801371,-0.243086836004]],\"v0\":[[-0.024066664923,-0.021084256736],[0.070121932549,-0.075190592026],[0.079242710248,-0.076929490833],[-0.016671036725,0.087775657577],[0.063907491405,-0.074986630924],[-0.073210313401,0.058580684276]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,0,1],\"p0\":[[-0.293114747059,0.439668940439],[0.290101179555,-1.657976189961],[0.964898170723,-1.19017778786],[-0.994044971601,-1.610992222654],[1.935903284655,0.100097363372],[1.180221334276,-0.251248329839]],\"p1\":[[-0.297136839441,0.43846791095],[0.297162010222,-1.669453054345],[0.976227157603,-1.20051545652],[-0.997932283519,-1.601064569774],[1.946692298611,0.09280362375],[1.170870801371,-0.243086836004]],\"v0\":[[-0.024066664923,-0.021084256736],[0.070121932549,-0.075190592026],[0.079242710248,-0.076929490833],[-0.016671036725,0.087775657577],[0.063907491405,-0.074986630924],[-0.073210313401,0.058580684276]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,0],\"p0\":[[-0.293114747059,0.439668940439],[0.290101179555,-1.657976189961],[0.964898170723,-1.19017778786],[-0.994044971601,-1.610992222654],[1.935903284655,0.100097363372],[1.180221334276,-0.251248329839]],\"p1\":[[-0.297136839441,0.43846791095],[0.297162010222,-1.669453054345],[0.976227157603,-1.20051545652],[-0.997932283519,-1.601064569774],[1.946692298611,0.09280362375],[1.170870801371,-0.243086836004]],\"v0\":[[-0.024066664923,-0.021084256736],[0.070121932549,-0.075190592026],[0.079242710248,-0.076929490833],[-0.016671036725,0.087775657577],[0.063907491405,-0.074986630924],[-0.073210313401,0.058580684276]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,1,0,1,0]}"},{"episode_id":"a7d37707e18bc3ea163c","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.838275387513,-1.192856888033],[-1.593595278254,-0.998021465676],[1.241953920377,-0.265931893058],[1.295539102899,-0.840826495185],[0.741470206067,0.929429781348],[-1.447187303782,-0.292141164828]],\"p1\":[[1.842580845213,-1.191955261957],[-1.596580371318,-0.98797984443],[1.249690262936,-0.268554326236],[1.302096824556,-0.848074339071],[0.733696135875,0.926380118881],[-1.43637080249,-0.297280600666]],\"v0\":[[0.070797495828,-0.020828383234],[-0.04624708164,0.061234029272],[0.069856749225,0.002200597018],[0.051865497863,-0.079551170812],[-0.065405090051,0.003006243659],[0.074606261716,-0.025362382973]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,1,0,1,1,1],\"p0\":[[1.838275387513,-1.192856888033],[-1.593595278254,-0.998021465676],[1.241953920377,-0.265931893058],[1.295539102899,-0.840826495185],[0.741470206067,0.929429781348],[-1.447187303782,-0.292141164828]],\"p1\":[[1.842580845213,-1.191955261957],[-1.596580371318,-0.98797984443],[1.249690262936,-0.268554326236],[1.302096824556,-0.848074339071],[0.733696135875,0.926380118881],[-1.43637080249,-0.297280600666]],\"v0\":[[0.070797495828,-0.020828383234],[-0.04624708164,0.061234029272],[0.069856749225,0.002200597018],[0.051865497863,-0.079551170812],[-0.065405090051,0.003006243659],[0.074606261716,-0.025362382973]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,1,1,1],\"p0\":[[1.838275387513,-1.192856888033],[-1.593595278254,-0.998021465676],[1.241953920377,-0.265931893058],[1.295539102899,-0.840826495185],[0.741470206067,0.929429781348],[-1.447187303782,-0.292141164828]],\"p1\":[[1.842580845213,-1.191955261957],[-1.596580371318,-0.98797984443],[1.249690262936,-0.268554326236],[1.302096824556,-0.848074339071],[0.733696135875,0.926380118881],[-1.43637080249,-0.297280600666]],\"v0\":[[0.070797495828,-0.020828383234],[-0.04624708164,0.061234029272],[0.069856749225,0.002200597018],[0.051865497863,-0.079551170812],[-0.065405090051,0.003006243659],[0.074606261716,-0.025362382973]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,1,1,1]}"},{"episode_id":"495e93030025b0a0eb31","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.179190906378,0.543492460521],[0.023875748329,1.35483366224],[-0.316712221805,-1.842939601682],[0.647266130686,-0.175732215558],[1.494869102364,1.037595744409],[0.635624424677,1.345333600821]],\"p1\":[[0.18275113911,0.545968550091],[0.019500024086,1.356693315941],[-0.313444123872,-1.844464052128],[0.65646560652,-0.17290609607],[1.493157614678,1.044678386647],[0.634314681038,1.356626314649]],\"v0\":[[0.049763552562,0.038424989859],[0.008120832563,-0.011386557995],[0.030804830386,-0.003392661856],[0.066541834586,0.05145217855],[-0.046433659863,0.056963622735],[-0.036873632466,0.068044831858]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,1,0,1,0],\"p0\":[[0.179190906378,0.543492460521],[0.023875748329,1.35483366224],[-0.316712221805,-1.842939601682],[0.647266130686,-0.175732215558],[1.494869102364,1.037595744409],[0.635624424677,1.345333600821]],\"p1\":[[0.18275113911,0.545968550091],[0.019500024086,1.356693315941],[-0.313444123872,-1.844464052128],[0.65646560652,-0.17290609607],[1.493157614678,1.044678386647],[0.634314681038,1.356626314649]],\"v0\":[[0.049763552562,0.038424989859],[0.008120832563,-0.011386557995],[0.030804830386,-0.003392661856],[0.066541834586,0.05145217855],[-0.046433659863,0.056963622735],[-0.036873632466,0.068044831858]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[0.179190906378,0.543492460521],[0.023875748329,1.35483366224],[-0.316712221805,-1.842939601682],[0.647266130686,-0.175732215558],[1.494869102364,1.037595744409],[0.635624424677,1.345333600821]],\"p1\":[[0.18275113911,0.545968550091],[0.019500024086,1.356693315941],[-0.313444123872,-1.844464052128],[0.65646560652,-0.17290609607],[1.493157614678,1.044678386647],[0.634314681038,1.356626314649]],\"v0\":[[0.049763552562,0.038424989859],[0.008120832563,-0.011386557995],[0.030804830386,-0.003392661856],[0.066541834586,0.05145217855],[-0.046433659863,0.056963622735],[-0.036873632466,0.068044831858]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,0]}"},{"episode_id":"e74b713b01d6d6df2781","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.308394860022,-2.15146883253],[0.05010016983,2.047285270684],[-0.476285278451,-0.810548448857],[-1.203097358228,-1.132898019285],[1.391486909261,-1.006077742786],[-0.246051602698,-1.699999986081]],\"p1\":[[1.304737992322,-2.158192344289],[0.049057189963,2.055886140341],[-0.480402214653,-0.809116533006],[-1.213859476321,-1.131372940018],[1.383542054741,-0.997674649208],[-0.240505062159,-1.689760013769]],\"v0\":[[-0.039177523099,-0.036457747655],[-0.009827300962,0.077228131829],[-0.056990730707,0.011626585429],[-0.061187220436,0.019409287541],[-0.055933820641,0.056047690987],[0.039973130482,0.067791209424]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,1],\"p0\":[[1.308394860022,-2.15146883253],[0.05010016983,2.047285270684],[-0.476285278451,-0.810548448857],[-1.203097358228,-1.132898019285],[1.391486909261,-1.006077742786],[-0.246051602698,-1.699999986081]],\"p1\":[[1.304737992322,-2.158192344289],[0.049057189963,2.055886140341],[-0.480402214653,-0.809116533006],[-1.213859476321,-1.131372940018],[1.383542054741,-0.997674649208],[-0.240505062159,-1.689760013769]],\"v0\":[[-0.039177523099,-0.036457747655],[-0.009827300962,0.077228131829],[-0.056990730707,0.011626585429],[-0.061187220436,0.019409287541],[-0.055933820641,0.056047690987],[0.039973130482,0.067791209424]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,1,0,1,1],\"p0\":[[1.308394860022,-2.15146883253],[0.05010016983,2.047285270684],[-0.476285278451,-0.810548448857],[-1.203097358228,-1.132898019285],[1.391486909261,-1.006077742786],[-0.246051602698,-1.699999986081]],\"p1\":[[1.304737992322,-2.158192344289],[0.049057189963,2.055886140341],[-0.480402214653,-0.809116533006],[-1.213859476321,-1.131372940018],[1.383542054741,-0.997674649208],[-0.240505062159,-1.689760013769]],\"v0\":[[-0.039177523099,-0.036457747655],[-0.009827300962,0.077228131829],[-0.056990730707,0.011626585429],[-0.061187220436,0.019409287541],[-0.055933820641,0.056047690987],[0.039973130482,0.067791209424]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,1,0,1,1]}"},{"episode_id":"2951145c59e4ec3d5620","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[-0.149903096309,0.269684462388],[1.812278858923,-0.83784803321],[1.845899110328,1.556488680246],[-0.646992106591,0.783004741336],[0.290083779693,1.391415306612],[1.473260278746,1.101069821803]],\"p1\":[[-0.154138059439,0.26424463131],[1.813744432178,-0.842558155284],[1.83945923149,1.560203978382],[-0.648317473456,0.773816800193],[0.292528098825,1.390834894896],[1.475757831663,1.097067825894]],\"v0\":[[-0.025322065911,-0.071481670123],[0.011508318301,-0.036977130587],[-0.025854338252,0.060650545614],[-0.016957964363,-0.053532562975],[0.019081898737,-0.0064414373],[-0.009062211263,-0.060592776162]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,1,1,1],\"p0\":[[-0.149903096309,0.269684462388],[1.812278858923,-0.83784803321],[1.845899110328,1.556488680246],[-0.646992106591,0.783004741336],[0.290083779693,1.391415306612],[1.473260278746,1.101069821803]],\"p1\":[[-0.154138059439,0.26424463131],[1.813744432178,-0.842558155284],[1.83945923149,1.560203978382],[-0.648317473456,0.773816800193],[0.292528098825,1.390834894896],[1.475757831663,1.097067825894]],\"v0\":[[-0.025322065911,-0.071481670123],[0.011508318301,-0.036977130587],[-0.025854338252,0.060650545614],[-0.016957964363,-0.053532562975],[0.019081898737,-0.0064414373],[-0.009062211263,-0.060592776162]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,1],\"p0\":[[-0.149903096309,0.269684462388],[1.812278858923,-0.83784803321],[1.845899110328,1.556488680246],[-0.646992106591,0.783004741336],[0.290083779693,1.391415306612],[1.473260278746,1.101069821803]],\"p1\":[[-0.154138059439,0.26424463131],[1.813744432178,-0.842558155284],[1.83945923149,1.560203978382],[-0.648317473456,0.773816800193],[0.292528098825,1.390834894896],[1.475757831663,1.097067825894]],\"v0\":[[-0.025322065911,-0.071481670123],[0.011508318301,-0.036977130587],[-0.025854338252,0.060650545614],[-0.016957964363,-0.053532562975],[0.019081898737,-0.0064414373],[-0.009062211263,-0.060592776162]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,1,1,1]}"},{"episode_id":"5896a624cc99c4669ad3","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.602088475597,-1.134534268136],[-0.869118471633,-1.840975942184],[0.326163456335,-0.465051996631],[1.086647121145,-0.87948712637],[1.003573246479,-1.879206359943],[-0.359074697522,-0.49901537767]],\"p1\":[[1.600644050095,-1.135213952384],[-0.875142893814,-1.844478732369],[0.337466024358,-0.454609436785],[1.084666469085,-0.882313669852],[0.996991689647,-1.870761202154],[-0.351926789918,-0.5005267797]],\"v0\":[[-0.026269227505,0.011497224085],[-0.04152838219,-0.033995295353],[0.071044206649,0.085238839622],[0.003576387281,-0.039143098252],[-0.071637716091,0.070141810574],[0.084976557295,-0.007345333257]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,1,0],\"p0\":[[1.602088475597,-1.134534268136],[-0.869118471633,-1.840975942184],[0.326163456335,-0.465051996631],[1.086647121145,-0.87948712637],[1.003573246479,-1.879206359943],[-0.359074697522,-0.49901537767]],\"p1\":[[1.600644050095,-1.135213952384],[-0.875142893814,-1.844478732369],[0.337466024358,-0.454609436785],[1.084666469085,-0.882313669852],[0.996991689647,-1.870761202154],[-0.351926789918,-0.5005267797]],\"v0\":[[-0.026269227505,0.011497224085],[-0.04152838219,-0.033995295353],[0.071044206649,0.085238839622],[0.003576387281,-0.039143098252],[-0.071637716091,0.070141810574],[0.084976557295,-0.007345333257]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,1,0,1],\"p0\":[[1.602088475597,-1.134534268136],[-0.869118471633,-1.840975942184],[0.326163456335,-0.465051996631],[1.086647121145,-0.87948712637],[1.003573246479,-1.879206359943],[-0.359074697522,-0.49901537767]],\"p1\":[[1.600644050095,-1.135213952384],[-0.875142893814,-1.844478732369],[0.337466024358,-0.454609436785],[1.084666469085,-0.882313669852],[0.996991689647,-1.870761202154],[-0.351926789918,-0.5005267797]],\"v0\":[[-0.026269227505,0.011497224085],[-0.04152838219,-0.033995295353],[0.071044206649,0.085238839622],[0.003576387281,-0.039143098252],[-0.071637716091,0.070141810574],[0.084976557295,-0.007345333257]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,1,0,1,0,1]}"},{"episode_id":"820568098820a9052af4","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[1.777004978437,2.114165350078],[-0.021404840346,1.800786576982],[0.542127406861,1.794942629588],[2.042711512832,0.105037849522],[-1.294698069353,-0.70117008867],[0.903919310057,-1.973536372894]],\"p1\":[[1.781180979678,2.105030573514],[-0.033428456011,1.809264392512],[0.538535023485,1.793307450224],[2.033252397202,0.101365872128],[-1.300981425347,-0.711181422302],[0.896819829243,-1.965937304862]],\"v0\":[[0.022045458256,-0.083751884575],[-0.057261705585,0.0670209093],[-0.058435318143,-0.015251087723],[-0.085071700502,-0.02632749346],[-0.046951381106,-0.080878478415],[-0.060008271567,0.069384839938]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,1,0,1],\"p0\":[[1.777004978437,2.114165350078],[-0.021404840346,1.800786576982],[0.542127406861,1.794942629588],[2.042711512832,0.105037849522],[-1.294698069353,-0.70117008867],[0.903919310057,-1.973536372894]],\"p1\":[[1.781180979678,2.105030573514],[-0.033428456011,1.809264392512],[0.538535023485,1.793307450224],[2.033252397202,0.101365872128],[-1.300981425347,-0.711181422302],[0.896819829243,-1.965937304862]],\"v0\":[[0.022045458256,-0.083751884575],[-0.057261705585,0.0670209093],[-0.058435318143,-0.015251087723],[-0.085071700502,-0.02632749346],[-0.046951381106,-0.080878478415],[-0.060008271567,0.069384839938]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,1,0,0,1,0],\"p0\":[[1.777004978437,2.114165350078],[-0.021404840346,1.800786576982],[0.542127406861,1.794942629588],[2.042711512832,0.105037849522],[-1.294698069353,-0.70117008867],[0.903919310057,-1.973536372894]],\"p1\":[[1.781180979678,2.105030573514],[-0.033428456011,1.809264392512],[0.538535023485,1.793307450224],[2.033252397202,0.101365872128],[-1.300981425347,-0.711181422302],[0.896819829243,-1.965937304862]],\"v0\":[[0.022045458256,-0.083751884575],[-0.057261705585,0.0670209093],[-0.058435318143,-0.015251087723],[-0.085071700502,-0.02632749346],[-0.046951381106,-0.080878478415],[-0.060008271567,0.069384839938]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,1,0,0,1,0]}"},{"episode_id":"83370c8d6e932dc0fcaa","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.411224449346,-1.948758231747],[-0.337265031971,-2.025612702134],[-0.621197545455,0.092191076729],[-0.137222957625,1.384438226456],[-1.532278705876,1.317958555347],[-1.621086955976,2.048025413013]],\"p1\":[[0.405352458333,-1.950188119381],[-0.325137122109,-2.019133087957],[-0.616948066561,0.08856723789],[-0.135282835347,1.383763129713],[-1.534553196878,1.323378555926],[-1.612840192269,2.046162165262]],\"v0\":[[-0.02418371732,-0.025990896059],[0.086229523024,0.034359174267],[0.036598480852,-0.040776222878],[0.037356594716,0.009235113856],[-0.035700745536,0.041036177975],[0.053181470314,0.018032851079]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,1,0],\"p0\":[[0.411224449346,-1.948758231747],[-0.337265031971,-2.025612702134],[-0.621197545455,0.092191076729],[-0.137222957625,1.384438226456],[-1.532278705876,1.317958555347],[-1.621086955976,2.048025413013]],\"p1\":[[0.405352458333,-1.950188119381],[-0.325137122109,-2.019133087957],[-0.616948066561,0.08856723789],[-0.135282835347,1.383763129713],[-1.534553196878,1.323378555926],[-1.612840192269,2.046162165262]],\"v0\":[[-0.02418371732,-0.025990896059],[0.086229523024,0.034359174267],[0.036598480852,-0.040776222878],[0.037356594716,0.009235113856],[-0.035700745536,0.041036177975],[0.053181470314,0.018032851079]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,0,0],\"p0\":[[0.411224449346,-1.948758231747],[-0.337265031971,-2.025612702134],[-0.621197545455,0.092191076729],[-0.137222957625,1.384438226456],[-1.532278705876,1.317958555347],[-1.621086955976,2.048025413013]],\"p1\":[[0.405352458333,-1.950188119381],[-0.325137122109,-2.019133087957],[-0.616948066561,0.08856723789],[-0.135282835347,1.383763129713],[-1.534553196878,1.323378555926],[-1.612840192269,2.046162165262]],\"v0\":[[-0.02418371732,-0.025990896059],[0.086229523024,0.034359174267],[0.036598480852,-0.040776222878],[0.037356594716,0.009235113856],[-0.035700745536,0.041036177975],[0.053181470314,0.018032851079]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"attract\",\"exponent\":1,\"same\":\"attract\"},\"partition\":[0,0,1,0,0,0]}"},{"episode_id":"efef45593582c8311f4d","prompts":{"no-hidden":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,0,0,0,0],\"p0\":[[0.683187397555,-0.37733544581],[0.337957384379,2.050314677343],[-1.600850592363,-0.046086741798],[-0.065492493147,0.748374100455],[-0.698695811108,-2.075629158806],[-1.390611285198,-2.094673621232]],\"p1\":[[0.687991346975,-0.367256789259],[0.331613143204,2.05824896971],[-1.600465679042,-0.035504025829],[-0.058265532834,0.754192255602],[-0.693901418633,-2.071810313819],[-1.398899630536,-2.106346607523]],\"v0\":[[0.029441200985,0.089529380913],[-0.056397532515,0.053876123482],[0.012742667166,0.085311677309],[0.061483365204,0.04415994893],[0.01475165699,0.038333773253],[-0.04054111602,-0.089880247815]]}\nAnswer:","permuted":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[1,0,0,1,1,0],\"p0\":[[0.683187397555,-0.37733544581],[0.337957384379,2.050314677343],[-1.600850592363,-0.046086741798],[-0.065492493147,0.748374100455],[-0.698695811108,-2.075629158806],[-1.390611285198,-2.094673621232]],\"p1\":[[0.687991346975,-0.367256789259],[0.331613143204,2.05824896971],[-1.600465679042,-0.035504025829],[-0.058265532834,0.754192255602],[-0.693901418633,-2.071810313819],[-1.398899630536,-2.106346607523]],\"v0\":[[0.029441200985,0.089529380913],[-0.056397532515,0.053876123482],[0.012742667166,0.085311677309],[0.061483365204,0.04415994893],[0.01475165699,0.038333773253],[-0.04054111602,-0.089880247815]]}\nAnswer:","primary":"Track H six-object transition. Infer partition and force law. Return JSON only.\n{\"latent\":[0,0,1,0,1,1],\"p0\":[[0.683187397555,-0.37733544581],[0.337957384379,2.050314677343],[-1.600850592363,-0.046086741798],[-0.065492493147,0.748374100455],[-0.698695811108,-2.075629158806],[-1.390611285198,-2.094673621232]],\"p1\":[[0.687991346975,-0.367256789259],[0.331613143204,2.05824896971],[-1.600465679042,-0.035504025829],[-0.058265532834,0.754192255602],[-0.693901418633,-2.071810313819],[-1.398899630536,-2.106346607523]],\"v0\":[[0.029441200985,0.089529380913],[-0.056397532515,0.053876123482],[0.012742667166,0.085311677309],[0.061483365204,0.04415994893],[0.01475165699,0.038333773253],[-0.04054111602,-0.089880247815]]}\nAnswer:"},"split":"heldout","target":"{\"law\":{\"different\":\"repel\",\"exponent\":2,\"same\":\"repel\"},\"partition\":[0,0,1,0,1,1]}"}],"schema_version":"jump.track-h-gemma-pilot-data/v1","seed":7613,"train_episodes":200}